Publications: Prof Shahn Majid

Beggs E, Majid S ( 2025 ) . Complex structure on quantum-braided planes . Letters in Mathematical Physics vol. 115 , ( 2 )

Blitz S, Majid S ( 2025 ) . Quantum curvature fluctuations and the cosmological constant in a single plaquette quantum gravity model . Classical and Quantum Gravity vol. 42 , ( 4 )

Majid S ( 2025 ) . Hopf algebras and q -deformation quantum groups: an overview . Encyclopedia of Mathematical Physics , Elsevier

Beggs E, Majid S ( 2024 ) . Quantum geodesic flows on graphs . Letters in Mathematical Physics vol. 114 , ( 5 )

Liu C, Majid S ( 2024 ) . Yang-Mills field from fuzzy sphere quantum Kaluza-Klein model . Journal of High Energy Physics vol. 2024 , ( 7 )

Lira-Torres E, Majid S ( 2024 ) . Geometric Dirac operator on noncommutative torus and M2(C) . Letters in Mathematical Physics vol. 114 , ( 3 )

Majid S ( 2024 ) . Dirac operator associated to a quantum metric . Journal of Noncommutative Geometry vol. 19 , ( 2 ) 573 - 600 .

Beggs E, Majid S ( 2024 ) . Quantum geodesics in quantum mechanics . Journal of Mathematical Physics vol. 65 , ( 1 )

Majid S ( 2024 ) . Hopf algebras and q-deformation quantum groups: an overview . Encyclopedia of Mathematical Physics, Second Edition: Volumes 1-5 , vol. 1-5 ,

Beggs E, Majid S ( 2023 ) . Quantum geodesic flow on the integer lattice line . Journal of Physics Conference Series vol. 2667 , ( 1 )

Han X, Majid S ( 2023 ) . Hopf-Galois extensions and twisted Hopf algebroids . Journal of Algebra

Majid S, Simão F ( 2023 ) . Quantum jet bundles . Letters in Mathematical Physics vol. 113 , ( 6 ) 120 - 120 .

Cowtan A, Majid S ( 2023 ) . Algebraic aspects of boundaries in the Kitaev quantum double model . Journal of Mathematical Physics vol. 64 , ( 10 )

Liu C, Majid S ( 2023 ) . Quantum Kaluza-Klein theory with M <inf>2</inf>(ℂ) . Journal of High Energy Physics vol. 2023 , ( 9 )

Majid S . Algebras and Hopf Algebras in Braided Categories . 55 - 105 .

Beggs E, Majid S ( 2023 ) . Quantum geodesic flows and curvature . Letters in Mathematical Physics vol. 113 , ( 3 )

Argota-Quiroz JN, Majid S ( 2023 ) . Quantum Riemannian geometry of the discrete interval and q-deformation . Journal of Mathematical Physics vol. 64 , ( 5 )

Majid S ( 2023 ) . Quantum geometry of Boolean algebras and de Morgan duality . Journal of Noncommutative Geometry

Argota-Quiroz JN, Majid S ( 2022 ) . Quantum gravity on finite spacetimes and dynamical mass . Proceedings of Science . Conference: Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" vol. 406 ,

Liu C, Majid S ( 2022 ) . Quantum geodesics on quantum Minkowski spacetime . Journal of Physics A: Mathematical and General vol. 55 , ( 42 )

Majid S ( 2022 ) . Quantum and braided ZX calculus . Journal of Physics A: Mathematical and Theoretical

Argota-Quiroz JN, Majid S ( 2022 ) . Quantum Riemannian geometry of the discrete interval and q-deformation . Journal of Mathematical Physics

Cowtan A, Majid S ( 2022 ) . Quantum double aspects of surface code models . Journal of Mathematical Physics vol. 63 , ( 4 )

Majid S, Lira Torres E ( 2022 ) . Geometric Dirac operator on the fuzzy sphere . Letters in Mathematical Physics

Argota-Quiroz JN, Majid S ( 2021 ) . Fuzzy and discrete black hole models* *The first author was partially supported by CONACyT (México) . Classical and Quantum Gravity vol. 38 , ( 14 )

Majid S, Lira Torres E ( 2021 ) . Quantum gravity and Riemannian geometry on the fuzzy sphere . Letters in Mathematical Physics

Majid S, Williams L ( 2021 ) . Poisson principal bundles . Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Majid S, Argota Quiroz J ( 2020 ) . Quantum gravity on polygons and R x Z_n FLRW mode . Classical and Quantum Gravity

Majid S, Pachol A ( 2020 ) . Digital quantum groups . Journal of Mathematical Physics

Majid S, AZIZ R ( 2020 ) . Quantum differentials on cross product Hopf algebras . Journal of Algebra

Majid S, Pacho A ( 2020 ) . Digital finite quantum Riemannian geometries . Journal of Physics A: Mathematical and Theoretical vol. 53 , ( 11 )

Majid S ( 2020 ) . Reconstruction and quantization of Riemannian structures . Journal of Mathematical Physics vol. 61 , ( 2 )

Beggs EJ, Majid S ( 2020 ) . Quantum Riemannian Geometry . Springer Nature

Majid S ( 2020 ) . Quantum geometry, logic and probability . Zagadnienia Filozoficzne w Nauce ( 69 ) 191 - 236 .

Majid S ( 2019 ) . Quantum gravity on a square graph . Classical and Quantum Gravity vol. 36 , ( 24 )

Majid S, Tao W-Q ( 2019 ) . Generalised noncommutative geometry on finite groups and Hopf quivers . Journal of Noncommutative Geometry vol. 13 , ( 3 ) 1055 - 1116 .

Majid S ( 2019 ) . Quantum Riemannian geometry and particle creation on the integer line . Classical and Quantum Gravity vol. 36 , ( 13 )

Albuquerque H, Majid S ( 2019 ) . New approach to octonions and Cayley algebras . 1 - 8 .

Bassett ME, Majid S ( 2019 ) . Finite Noncommutative Geometries Related to Fp[x] . Algebras and Representation Theory vol. 23 , ( 2 ) 251 - 274 .

Aziz R, Majid S ( 2019 ) . Co-double bosonisation and dual bases of c q [SL 2] and c q [SL 3] . Journal of Algebra vol. 518 , 75 - 118 .

Akylzhanov R, Majid S, Ruzhansky M ( 2018 ) . Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups . Communications in Mathematical Physics vol. 362 , ( 3 ) 761 - 799 .

MAJID SH ( 2018 ) . On the Emergence of the Structure of Physics . Philosophical Transactions A: Mathematical, Physical and Engineering Sciences

MAJID SH, PACHOL A ( 2018 ) . Classification of digital affine noncommutative geometries . Journal of Mathematical Physics

MAJID SH, WILLIAMS L ( 2018 ) . Quantum Koszul formula on quantum spacetime . Journal of Geometry and Physics

MAJID SH, Osei P ( 2018 ) . Quasitriangular structure and twisting of the 3D bicrossproduct model . Journal of High Energy Physics

MAJID SH, Beggs EJ ( 2017 ) . Quantum Bianchi identities via DG categories . Journal of Geometry and Physics

MAJID SH, Beggs EJ ( 2017 ) . Spectral triples from bimodule connections and Chern connections . Journal of Noncommutative Geometry

Fritz C, Majid S ( 2017 ) . Noncommutative spherically symmetric spacetimes at semiclassical order . Classical and Quantum Gravity

MAJID SH ( 2017 ) . Quantum Riemannian geometry of phase space and nonassociativity . Demonstratio Mathematica

MAJID SH ( 2017 ) . Hodge Star as Braided Fourier Transform . Algebras and Representation Theory

MAJID SH, Lopez Pena J, Rietsch K ( 2017 ) . Lie theory of finite simple groups and Roth property . Cambridge Philosophical Society: Mathematical Proceedings

MAJID SH, Beggs EJ ( 2016 ) . Poisson-Riemannian geometry . Journal of Geometry and Physics

Majid S ( 2016 ) . Non-commutative Differential Geometry . Analysis and Mathematical Physics , World Scientific Publishing

Majid S ( 2016 ) . Knots and Feynman diagrams, by D. Kreimer. Pp. 272. £21.95. 2000. ISBN 0521 58761 1 (Cambridge University Press) . The Mathematical Gazette vol. 86 , ( 506 ) 381 - 383 .

Majid S, Tao W-Q ( 2016 ) . Noncommutative differentials on Poisson–Lie groups and pre-Lie algebras . Pacific Journal of Mathematics vol. 284 , ( 1 ) 213 - 256 .

Majid S, Tao W-Q ( 2015 ) . Duality for generalised differentials on quantum groups . Journal of Algebra vol. 439 , 67 - 109 .

Majid S, Tao W-Q ( 2015 ) . Cosmological constant from quantum spacetime . Physical Review D vol. 91 , ( 12 )

MAJID SH ( 2014 ) . The self-representing Universe . Mathematical Structures of the Universe , Editors: Szybka, S, Heller, M, Eckstein, M , Copernicus Center Press ( Crackow ),

Polkinghorne J, Penrose R, Taylor A, Connes A, Heller M, Majid S ( 2014 ) . Quantum spacetime and physical reality . On Space and Time , Cambridge University Press (CUP)

Majid S ( 2014 ) . Emergence of Riemannian geometry and the massive graviton . 2ND INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS . vol. 71 ,

Beggs EJ, Majid S ( 2014 ) . Gravity induced from quantum spacetime . CLASSICAL AND QUANTUM GRAVITY vol. 31 , ( 3 )

Majid S ( 2014 ) . Newtonian gravity on quantum spacetime . 1ST INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS . vol. 70 ,

Connes A, Heller M, Penrose R, Polkinghorne J, Taylor A, Majid S ( 2013 ) . Quantum spacetime and physical reality . On Space and Time , Cambridge University Press (CUP)

Majid S, Rietsch K ( 2013 ) . Lie theory and coverings of finite groups . JOURNAL OF ALGEBRA vol. 389 , 137 - 150 .

Majid S ( 2013 ) . Noncommutative Riemannian geometry on graphs . JOURNAL OF GEOMETRY AND PHYSICS vol. 69 , 74 - 93 .

Majid S ( 2012 ) . BRAIDED GROUPS AND BRAID STATISTICS . Quantum Probability and Related Topics , World Scientific Publishing

Majid S ( 2012 ) . QUANTUM GROUPS AND QUANTUM PROBABILITY . Quantum Probability and Related Topics , vol. 6 , World Scientific Publishing

MAJID S, SOIBELMAN YS ( 2012 ) . CHERN-SIMONS THEORY, MODULAR FUNCTIONS AND QUANTUM MECHANICS IN AN ALCOVE . International Journal of Modern Physics A vol. 6 , ( 10 ) 1815 - 1827 .

MAJID S ( 2012 ) . ON q-REGULARIZATION . International Journal of Modern Physics A vol. 5 , ( 24 ) 4689 - 4696 .

MAJID S ( 2012 ) . QUANTUM RANDOM WALKS AND TIME REVERSAL . International Journal of Modern Physics A vol. 8 , ( 25 ) 4521 - 4545 .

MAJID S ( 2012 ) . QUASITRIANGULAR HOPF ALGEBRAS AND YANG-BAXTER EQUATIONS . International Journal of Modern Physics A vol. 5 , ( 01 ) 1 - 91 .

MAJID S ( 2012 ) . RECONSTRUCTION THEOREMS AND RATIONAL CONFORMAL FIELD THEORIES . International Journal of Modern Physics A vol. 6 , ( 24 ) 4359 - 4374 .

MACFARLANE AJ, MAJID S ( 2012 ) . SPECTRUM GENERATING QUANTUM GROUP OF THE HARMONIC OSCILLATOR . International Journal of Modern Physics A vol. 7 , ( 18 ) 4377 - 4393 .

MAJID S ( 2000 ) . CONCEPTUAL ISSUES FOR NONCOMMUTATIVE GRAVITY ON ALGEBRAS AND FINITE SETS . International Journal of Modern Physics B . vol. 14 , 2427 - 2449 .

AMELINO-CAMELIA G, MAJID S ( 2012 ) . WAVES ON NONCOMMUTATIVE SPACE–TIME AND GAMMA-RAY BURSTS . International Journal of Modern Physics A vol. 15 , ( 27 ) 4301 - 4323 .

Majid S ( 2012 ) . Almost Commutative Riemannian Geometry: Wave Operators . COMMUNICATIONS IN MATHEMATICAL PHYSICS vol. 310 , ( 3 ) 569 - 609 .

Majid S ( 2012 ) . Emergence of Wave Equations from Quantum Geometry . SIXTH INTERNATIONAL SCHOOL ON FIELD THEORY AND GRAVITATION-2012 . vol. 1483 , 169 - 188 .

Connes A, Heller M, Majid S, Penrose R, Polkinghorne J, Taylor A ( 2012 ) . On space and time .

Majid S ( 2012 ) . Preface . On Space and Timexi - xx .

MAJID S ( 2011 ) . DIAGRAMMATICS OF BRAIDED GROUP GAUGE THEORY . Journal of Knot Theory and Its Ramifications vol. 8 , ( 06 ) 731 - 771 .

MAJID S ( 2011 ) . SOLUTIONS OF THE YANG-BAXTER EQUATIONS FROM BRAIDED-LIE ALGEBRAS AND BRAIDED GROUPS . Journal of Knot Theory and Its Ramifications vol. 4 , ( 04 ) 673 - 697 .

Gateva-Ivanova T, Majid S ( 2011 ) . Quantum Spaces Associated to Multipermutation Solutions of Level Two . ALGEBR REPRESENT TH vol. 14 , ( 2 ) 341 - 376 .

Beggs EJ, Majid S ( 2011 ) . *-compatible connections in noncommutative Riemannian geometry . J GEOM PHYS vol. 61 , ( 1 ) 95 - 124 .

Majid S ( 2011 ) . <i>q</i>-Fuzzy Spheres and Quantum Differentials on <i>B_q</i>[<i>SU</i>₂] and <i>U_q</i>(<i>su</i>₂) . LETTERS IN MATHEMATICAL PHYSICS vol. 98 , ( 2 ) 167 - 191 .

TOMASIC I, Majid S ( 2011 ) . On braided zeta functions . Bull. Math. Sci. vol. 1 , ( 2 ) 379 - 396 .

Majid S ( 2011 ) . Scaling Limit of the Noncommutative Black Hole . GROUP 28: PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRY: PROCEEDINGS OF THE 28TH INTERNATIONAL COLLOQUIUM ON GROUP-THEORETICAL METHODS IN PHYSICS . vol. 284 ,

Beggs E, Majid S ( 2010 ) . Nonassociative Riemannian geometry by twisting . Journal of Physics Conference Series . vol. 254 ,

Majid S ( 2010 ) . Quantum groups . The Princeton Companion to Mathematics ,

Klim J, Majid S ( 2010 ) . Hopf quasigroups and the algebraic 7-sphere . J ALGEBRA vol. 323 , ( 11 ) 3067 - 3110 .

Beggs EJ, Majid S ( 2010 ) . Quantization by cochain twists and nonassociative differentials . J MATH PHYS vol. 51 , ( 5 ) Article 053522 ,

Klim J, Majid S ( 2010 ) . Bicrossproduct Hopf quasigroups . Commentationes Mathematicae Universitatis Carolinae vol. 51 , ( 2 ) 287 - 304 .

Majid S, Connes A, Heller M, Penrose R, Polkinghorne J, Taylor A ( 2010 ) . On space and time .

Majid S ( 2010 ) . Preface . On Space and Timexi - xx .

Majid S ( 2009 ) . Algebraic approach to Quantum Gravity II: noncommutative spacetime . Approaches to Quantum Gravity , Cambridge University Press (CUP)

Majid S, Schroers BJ ( 2009 ) . q-deformation and semidualization in 3D quantum gravity . J PHYS A-MATH THEOR vol. 42 , ( 42 ) Article 425402 ,

Beggs EJ, Majid S ( 2009 ) . Bar Categories and Star Operations . ALGEBRAS AND REPRESENTATION THEORY . vol. 12 , 103 - 152 .

Brain SJ, Majid S ( 2008 ) . Quantisation of Twistor Theory by Cocycle Twist . COMMUN MATH PHYS vol. 284 , ( 3 ) 713 - 774 .

Majid S, Markl M ( 2008 ) . Glueing operation for R-matrices, quantum groups and link-invariants of Hecke type . Mathematical Proceedings of the Cambridge Philosophical Society vol. 119 , ( 1 ) 139 - 166 .

Majid S ( 2008 ) . Transmutation theory and rank for quantum braided groups . Mathematical Proceedings of the Cambridge Philosophical Society vol. 113 , ( 1 ) 45 - 70 .

Freidel L, Majid S ( 2008 ) . Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity . CLASSICAL QUANT GRAV vol. 25 , ( 4 ) Article 045006 ,

Gateva-Ivanova T, Majid S ( 2008 ) . Matched pairs approach to set theoretic solutions of the Yang-Baxter equation . J ALGEBRA vol. 319 , ( 4 ) 1462 - 1529 .

Majid S ( 2008 ) . Gauge-covariant vacuum expectations and glueballs . Il Nuovo Cimento A (1971-1996) vol. 104 , ( 7 ) 949 - 960 .

Majid S ( 2008 ) . Mass dependence ofU(1) axial-symmetry breakdown . Il Nuovo Cimento A (1971-1996) vol. 104 , ( 5 ) 617 - 640 .

Majid S ( 2008 ) . Canonical arbitrary-spin background-field wave operator and applications . Il Nuovo Cimento A (1971-1996) vol. 101 , ( 6 ) 857 - 882 .

Gateva-Ivanova T, Majid S ( 2007 ) . Set-theoretic solutions of the Yang-Baxter equation, graphs and computations . JOURNAL OF SYMBOLIC COMPUTATION . vol. 42 , 1079 - 1112 .

Hadfield T, Majid S ( 2007 ) . Bicrossproduct approach to the Connes-Moscovici Hopf algebra . J ALGEBRA vol. 312 , ( 1 ) 228 - 256 .

Majid S ( 2007 ) . Algebraic approach to quantum gravity III: Non-commmutative riemannian geometry . Quantum Gravity: Mathematical Models and Experimental Bounds . Editors: Fauser, B, Tolksdorf, J, Zeidler, E , 77 - 100 .

Beggs EJ, Majid S ( 2006 ) . Semiclassical differential structures . PAC J MATH vol. 224 , ( 1 ) 1 - 44 .

Majid S ( 2006 ) . Bicrossproduct Hopf Algebras and Noncommutative Spacetime . Encyclopedia of Mathematical Physics: Five-Volume Set ,

Majid S ( 2006 ) . Hopf Algebras and q-Deformation Quantum Groups . Encyclopedia of Mathematical Physics: Five-Volume Set ,

MAJID SH ( 2006 ) . What is a quantum group . Notes: Notices of the American Mathematical Society. Invited review article ,

Majid S ( 2005 ) . Gauge theory on nonassociative spaces . J MATH PHYS vol. 46 , ( 10 ) Article 103519 ,

Majid S ( 2005 ) . Noncommutative model with spontaneous time generation and Planckian bound . J MATH PHYS vol. 46 , ( 10 ) Article 103520 ,

Majid S ( 2005 ) . Noncommutative Riemannian and spin geometry of the standard q-sphere . COMMUN MATH PHYS vol. 256 , ( 2 ) 255 - 285 .

MAJID SH ( 2005 ) . Classification of differentials on quantum doubles and finite noncommutative geometry . Hopf algebras in noncommutative geometry and physics , Marcel Dekker ( New York ),

Majid S ( 2005 ) . Noncommutative differentials and Yang-Mills on permutation groups S-n . Editors: Caenepeel, S, VanOystaeyen, F , vol. 239 ,

Majid S, Raineri E ( 2004 ) . Moduli of quantum Riemannian geometries on <= 4 points . J MATH PHYS vol. 45 , ( 12 ) 4596 - 4627 .

Ngakeu F, Majid S, Ezin JP ( 2004 ) . Cartan calculus for quantum differentials on bicrossproducts . ACTA APPL MATH vol. 84 , ( 2 ) 193 - 236 .

Akrami SE, Majid S ( 2004 ) . Braided cyclic cocycles and nonassociative geometry . J MATH PHYS vol. 45 , ( 10 ) 3883 - 3911 .

Goldin GA, Majid S ( 2004 ) . On the Fock space for nonrelativistic anyon fields and braided tensor products . J MATH PHYS vol. 45 , ( 10 ) 3770 - 3787 .

Majid S ( 2004 ) . Special issue: Quantum groups and noncommutative geometry - Introduction . J MATH PHYS vol. 45 , ( 10 ) 3701 - 3702 .

MAJID SH, Akrami SE ( 2004 ) . Braided cyclic cocycles and nonassociative geometry . J. Math. Phys. vol. 45 , 3883 - 3911 .

Majid S ( 2004 ) . Noncommutative physics on Lie algebras, (Z(2))(n) lattices and Clifford algebras . CLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING . Editors: Ablamowicz, R , vol. 34 , 491 - 518 .

Gomez X, Majid S ( 2003 ) . Braided Lie algebras and bicovdriant differential calculi over co-quasitriangular Hopf algebras . J ALGEBRA vol. 261 , ( 2 ) 334 - 388 .

Cameron PJ, Majid S ( 2003 ) . Braided line and counting fixed points of GL(d, F-q) . COMMUN ALGEBRA vol. 31 , ( 4 ) 2003 - 2013 .

Batista E, Majid S ( 2003 ) . Noncommutative geometry of angular momentum space U(su(2)) . J MATH PHYS vol. 44 , ( 1 ) 107 - 137 .

Batista E, Majid S ( 2003 ) . Noncommutative geometry on the algebra U(su2) and quantization of coadjoint orbits . GROUP 24 : PHYSICAL AND MATHEMATICAL ASPECTS OF SYMMETRIES . Editors: Gazeau, JP, Kerner, R, Antoine, JP, Metens, S et al. , vol. 173 , 435 - 438 .

Majid S ( 2003 ) . Noncommutative ricci curvature and dirac operator on Cq[SL2] at roots of unity . LETT MATH PHYS vol. 63 , ( 1 ) 39 - 54 .

MAJID SH, GOMEZ X ( 2003 ) . Relating quantum and braided Lie algebras . Banach Center Publications Volume No: 44 , Banach Center

Majid S, Raineri E ( 2002 ) . Electromagnetism and gauge theory on the permutation group S-3 . J GEOM PHYS vol. 44 , ( 2-3 ) 129 - 155 .

Majid S, Schucker T ( 2002 ) . Z(2) x Z(2) lattice as a Connes-Lott-quantum group model . J GEOM PHYS vol. 43 , ( 1 ) 1 - 26 .

Albuquerque H, Majid S ( 2002 ) . Clifford algebras obtained by twisting of group algebras . J PURE APPL ALGEBRA vol. 171 , ( 2-3 ) 133 - 148 .

Ngakeu F, Majid S, Lambert D ( 2002 ) . Noncommutative Riemannian geometry of the alternating group A(4) . J GEOM PHYS vol. 42 , ( 3 ) 259 - 282 .

Gomez X, Majid S ( 2002 ) . Noncommutative cohomology and electromagnetism on C-q[SL2] at roots of unity . LETT MATH PHYS vol. 60 , ( 3 ) 221 - 237 .

MAJID SH ( 2002 ) . A Quantum Groups Primer . Cambridge University Press ( Cambridge ),

Majid S ( 2002 ) . Riemannian geometry of quantum groups and finite groups with nonuniversal differentials . COMMUN MATH PHYS vol. 225 , ( 1 ) 131 - 170 .

Beggs EJ, Majid S ( 2001 ) . Poisson-Lie T-duality for quasitriangular Lie bialgebras . COMMUN MATH PHYS vol. 220 , ( 3 ) 455 - 488 .

MAJID SH ( 2001 ) . Noncommutative differential geometry and twisting of quantum groups . Quantum Groups and Lie Theory , Cambridge University Press ( Cambridge ),

Majid S, Oeckl R ( 2000 ) . Twisting of Quantum Differentials . Geometry and Quantum Physics , vol. 543 , Springer Nature

Brzeziński T, Majid S ( 2000 ) . Quantum Geometry of Algebra Factorisations¶and Coalgebra Bundles . Communications in Mathematical Physics vol. 213 , ( 3 ) 491 - 521 .

Majid S ( 2000 ) . Quantum groups and noncommutative geometry . Journal of Mathematical Physics vol. 41 , ( 6 ) 3892 - 3942 .

Majid S ( 2000 ) . Non-commutative geometry and quantum groups . Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences vol. 358 , ( 1765 ) 89 - 109 .

Majid S ( 2000 ) . Braided-Lie bialgebras . Pacific Journal of Mathematics vol. 192 , ( 2 ) 329 - 356 .

Majid S ( 2000 ) . Meaning of noncommutative geometry and the Planck-scale quantum group . TOWARDS QUANTUM GRAVITY . vol. 541 , 227 - 276 .

Amelino-Camelia G, Majid S ( 2000 ) . Waves on noncommutative space-time and gamma-ray bursts . INTERNATIONAL JOURNAL OF MODERN PHYSICS A vol. 15 , ( 27 ) 4301 - 4323 .

Hajac PM, Majid S ( 1999 ) . Projective Module Description of the q-Monopole . Communications in Mathematical Physics vol. 206 , ( 2 ) 247 - 264 .

Albuquerque H, Majid S ( 1999 ) . Quasialgebra Structure of the Octonions . Journal of Algebra vol. 220 , ( 1 ) 188 - 224 .

Beggs E, Majid S ( 1999 ) . Quasitriangular and Differential Structures on Bicrossproduct Hopf Algebras . Journal of Algebra vol. 219 , ( 2 ) 682 - 727 .

Majid S, Oeckl R ( 1999 ) . Twisting of Quantum Differentials and¶the Planck Scale Hopf Algebra . Communications in Mathematical Physics vol. 205 , ( 3 ) 617 - 655 .

Majid S ( 1999 ) . Quantum and braided group Riemannian geometry . Journal of Geometry and Physics vol. 30 , ( 2 ) 113 - 146 .

Majid S ( 1999 ) . Quantum geometry of field extensions . Journal of Mathematical Physics vol. 40 , ( 5 ) 2311 - 2323 .

MAJID S ( 1999 ) . Double-bosonization of braided groups and the construction of Uq(g) . Mathematical Proceedings of the Cambridge Philosophical Society vol. 125 , ( 1 ) 151 - 192 .

Majid S ( 1999 ) . Hopf algebras for physics at the Planck scale . Classical and Quantum Gravity vol. 5 , ( 12 )

Brzeziński T, Majid S ( 1998 ) . Quantum Differentials and the q-Monopole Revisited . Acta Applicandae Mathematicae vol. 54 , ( 2 ) 185 - 232 .

Majid S ( 1998 ) . Quantum and braided diffeomorphism groups . Journal of Geometry and Physics vol. 28 , ( 1-2 ) 94 - 128 .

Majid S ( 1998 ) . Some remarks on braided group reconstruction and braided doubles . Czechoslovak Journal of Physics vol. 48 , ( 11 ) 1447 - 1456 .

Majid S ( 1998 ) . Quantum Double for Quasi-Hopf Algebras . Letters in Mathematical Physics vol. 45 , ( 1 ) 1 - 9 .

Majid S ( 1998 ) . Classification of bicovariant differential calculi . Journal of Geometry and Physics vol. 25 , ( 1-2 ) 119 - 140 .

Brzeziński T, Majid S ( 1998 ) . Coalgebra Bundles . Communications in Mathematical Physics vol. 191 , ( 2 ) 467 - 492 .

Brzeziński T, Majid S ( 1998 ) . Line bundles on quantum spheres . AIP Conference Proceedings . vol. 453 , 3 - 8 .

Majid S ( 1997 ) . Fermionic q-Fock space and braided geometry . Journal of Mathematical Physics vol. 38 , ( 9 ) 4845 - 4853 .

Majid S ( 1997 ) . Quasi-∗ structure on q-Poincaré algebras . Journal of Geometry and Physics vol. 22 , ( 1 ) 14 - 58 .

MAJID S ( 1997 ) . Bicross-Product Structure of Affine Quantum Groups . Letters in Mathematical Physics vol. 39 , ( 3 ) 243 - 252 .

Majid S ( 1997 ) . Some comments on bosonisation and biproducts . Czechoslovak Journal of Physics vol. 47 , ( 2 ) 151 - 171 .

Majid S ( 1997 ) . Anyonic lie algebras . Czechoslovak Journal of Physics vol. 47 , ( 12 ) 1241 - 1250 .

Majid S ( 1997 ) . Braided geometry and the inductive construction of Lie algebras and quantum groups . DEFORMATION THEORY AND SYMPLECTIC GEOMETRY . vol. 20 , 339 - 344 .

Majid S ( 1997 ) . New quantum groups by double-bosonisation . Czechoslovak Journal of Physics vol. 47 , ( 1 ) 79 - 90 .

Majid S ( 1997 ) . Quantum geometry and the Planck scale . GROUP 21 - PHYSICAL APPLICATIONS AND MATHEMATICAL ASPECTS OF GEOMETRY, GROUPS, AND ALGEBRA, VOLS 1 AND 2 . 275 - 284 .

Majid S ( 1996 ) . Braided geometry of the conformal algebra . Journal of Mathematical Physics vol. 37 , ( 12 ) 6495 - 6509 .

Beggs EJ, Gould JD, Majid S ( 1996 ) . Finite Group Factorizations and Braiding . Journal of Algebra vol. 181 , ( 1 ) 112 - 151 .

Majid S ( 1996 ) . Introduction to braided geometry and q-Minkowski space . QUANTUM GROUPS AND THEIR APPLICATIONS IN PHYSICS . vol. 127 , 267 - 345 .

Majid S, Rodríguez-Plaza MJ ( 1995 ) . Nonstandard quantum groups and superization . Journal of Mathematical Physics vol. 36 , ( 12 ) 7081 - 7097 .

Majid S ( 1995 ) . *‐structures on braided spaces . Journal of Mathematical Physics vol. 36 , ( 8 ) 4436 - 4449 .

Majid S ( 1995 ) . q‐epsilon tensor for quantum and braided spaces . Journal of Mathematical Physics vol. 36 , ( 4 ) 1991 - 2007 .

Brzeziński T, Majid S ( 1995 ) . Quantum group Gauge theory on quantum spaces . Communications in Mathematical Physics vol. 167 , ( 1 ) 235 - 235 .

Kempf A, Majid S ( 1994 ) . Algebraic q‐integration and Fourier theory on quantum and braided spaces . Journal of Mathematical Physics vol. 35 , ( 12 ) 6802 - 6837 .

Majid S, Rodríguez-Plaza MJ ( 1994 ) . Anyonic FRT construction . Czechoslovak Journal of Physics vol. 44 , ( 11-12 ) 1073 - 1080 .

Majid S ( 1994 ) . Some remarks on the quantum double . Czechoslovak Journal of Physics vol. 44 , ( 11-12 ) 1059 - 1071 .

Majid S ( 1994 ) . q‐Euclidean space and quantum Wick rotation by twisting . Journal of Mathematical Physics vol. 35 , ( 9 ) 5025 - 5034 .

Majid S, Ruegg H ( 1994 ) . Bicrossproduct structure of κ-Poincare group and non-commutative geometry . Physics Letters B vol. 334 , ( 3-4 ) 348 - 354 .

Majid S, Rodríguez-Plaza MJ ( 1994 ) . Random walk and the heat equation on superspace and anyspace . Journal of Mathematical Physics vol. 35 , ( 7 ) 3753 - 3760 .

Lyubashenko V, Majid S ( 1994 ) . Braided Groups and Quantum Fourier Transform . Journal of Algebra vol. 166 , ( 3 ) 506 - 528 .

Majid S, Meyer U ( 1994 ) . Braided matrix structure ofq-Minkowski space andq-Poincaré group . Zeitschrift für Physik C Particles and Fields vol. 63 , ( 2 ) 357 - 362 .

Majid S ( 1994 ) . On the addition of quantum matrices . Journal of Mathematical Physics vol. 35 , ( 5 ) 2617 - 2632 .

Majid S ( 1994 ) . Quantum and braided-Lie algebras . Journal of Geometry and Physics vol. 13 , ( 4 ) 307 - 356 .

Majid S ( 1994 ) . The quantum double as quantum mechanics . Journal of Geometry and Physics vol. 13 , ( 2 ) 169 - 202 .

Majid S ( 1994 ) . Bicrossproduct Structure of the Quantum Weyl Group . Journal of Algebra vol. 163 , ( 1 ) 68 - 87 .

Gurevich D, Majid S ( 1994 ) . Braided groups of Hopf algebras obtained by twisting . Pacific Journal of Mathematics vol. 162 , ( 1 ) 27 - 44 .

Majid S ( 1994 ) . Cross Products by Braided Groups and Bosonization . Journal of Algebra vol. 163 , ( 1 ) 165 - 190 .

Majid S ( 1994 ) . Lie algebras and braided geometry . PROCEEDINGS OF THE XXIITH INTERNATIONAL CONFERENCE ON DIFFERENTIAL GEOMETRIC METHODS IN THEORETICAL PHYSICS . vol. 4 , 61 - 77 .

Brzeziński T, Majid S ( 1993 ) . Quantum group gauge theory on quantum spaces . Communications in Mathematical Physics vol. 157 , ( 3 ) 591 - 638 .

Majid S ( 1993 ) . Braided matrix structure of the Sklyanin algebra and of the quantum Lorentz group . Communications in Mathematical Physics vol. 156 , ( 3 ) 607 - 638 .

Majid S ( 1993 ) . Free braided differential calculus, braided binomial theorem, and the braided exponential map . Journal of Mathematical Physics vol. 34 , ( 10 ) 4843 - 4856 .

Baskerville WK, Majid S ( 1993 ) . The braided Heisenberg group . Journal of Mathematical Physics vol. 34 , ( 8 ) 3588 - 3606 .

Majid S, Rodríguez-Plaza MJ ( 1993 ) . Quantum and super-quantum group related to the Alexander-Conway polynomial . Journal of Geometry and Physics vol. 11 , ( 1-4 ) 437 - 443 .

Majid S ( 1993 ) . Braided groups . Journal of Pure and Applied Algebra vol. 86 , ( 2 ) 187 - 221 .

Majid S ( 1993 ) . Braided momentum in the q‐Poincaré group . Journal of Mathematical Physics vol. 34 , ( 5 ) 2045 - 2058 .

Majid S ( 1993 ) . Quantum and braided linear algebra . Journal of Mathematical Physics vol. 34 , ( 3 ) 1176 - 1196 .

Majid S ( 1993 ) . Anyonic Quantum Groups . Spinors, Twistors, Clifford Algebras and Quantum Deformations , Springer Nature

Brzeziński T, Majid S ( 1993 ) . Quantum group gauge theory on classical spaces . Physics Letters B vol. 298 , ( 3-4 ) 339 - 343 .

DONIN J, GUREVICH D, MAJID S ( 1993 ) . R-MATRIX BRACKETS AND THEIR QUANTIZATION . ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE vol. 58 , ( 2 ) 235 - 246 .

Majid S ( 1992 ) . C -statistical quantum groups and Weyl algebras . Journal of Mathematical Physics vol. 33 , ( 10 ) 3431 - 3444 .

Brzeziński T, Majid S ( 1992 ) . A class of bicovariant differential calculi on hopf algebras . Letters in Mathematical Physics vol. 26 , ( 1 ) 67 - 78 .

Lyubashenko VV, Majid S ( 1992 ) . Fourier transform identities in quantum mechanics and the quantum line . Physics Letters B vol. 284 , ( 1-2 ) 66 - 70 .

MAJID S ( 1992 ) . AN OPEN PROBLEM IN QUANTUM GROUPS . LECTURE NOTES IN MATHEMATICS vol. 1510 , 390 - 391 .

MAJID S ( 1992 ) . RANK OF QUANTUM GROUPS AND BRAIDED GROUPS IN DUAL FORM . LECTURE NOTES IN MATHEMATICS vol. 1510 , 79 - 89 .

MACFARLANE AJ, MAJID S ( 1992 ) . THE SUPERALGEBRA OSP(1/2) AND A RELATED QUANTUM GROUP-STRUCTURE FOR HARMONIC-OSCILLATOR SYSTEMS . TOPOLOGICAL AND GEOMETRICAL METHODS IN FIELD THEORY . 227 - 236 .

Majid S ( 1991 ) . Examples of braided groups and braided matrices . Journal of Mathematical Physics vol. 32 , ( 12 ) 3246 - 3253 .

Macfarlane AJ, Majid S ( 1991 ) . Quantum group structure in a fermionic extension of the quantum harmonic oscillator . Physics Letters B vol. 268 , ( 1 ) 71 - 74 .

Majid S ( 1991 ) . Principle of Representation‐Theoretic Self‐Duality . Physics Essays vol. 4 , ( 3 ) 395 - 405 .

Majid S ( 1991 ) . Braided groups and algebraic quantum field theories . Letters in Mathematical Physics vol. 22 , ( 3 ) 167 - 175 .

Majid S ( 1991 ) . Quasi-quantum groups as internal symmetries of topological quantum field theories . Letters in Mathematical Physics vol. 22 , ( 2 ) 83 - 90 .

Majid S, Soibelman YS ( 1991 ) . Rank of quantized universal enveloping algebras and modular functions . Communications in Mathematical Physics vol. 137 , ( 2 ) 249 - 262 .

Majid S ( 1991 ) . Hopf-von Neumann algebra bicrossproducts, Kac algebra bicrossproducts, and the Classical Yang-Baxter Equations . Journal of Functional Analysis vol. 95 , ( 2 ) 291 - 319 .

Majid S ( 1991 ) . Doubles of quasitriangular hopf algebras . Communications in Algebra vol. 19 , ( 11 ) 3061 - 3073 .

Majid S ( 1990 ) . Fourier transforms on ��/�� and knot invariants . Journal of Mathematical Physics vol. 31 , ( 4 ) 924 - 927 .

Majid S ( 1990 ) . Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction . Journal of Algebra vol. 130 , ( 1 ) 17 - 64 .

Majid S ( 1990 ) . More examples of bicrossproduct and double cross product Hopf algebras . Israel Journal of Mathematics vol. 72 , ( 1-2 ) 133 - 148 .

BEGGS E, MAJID S ( 1990 ) . MATCHED PAIRS OF TOPOLOGICAL LIE-ALGEBRAS CORRESPONDING TO LIE BIALGEBRA STRUCTURES ON DIFF(S1) AND DIFF(R) . ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE vol. 53 , ( 1 ) 15 - 34 .

Majid S ( 1990 ) . Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations . Pacific Journal of Mathematics vol. 141 , ( 2 ) 311 - 332 .

MAJID S ( 1990 ) . QUANTUM GROUP DUALITY IN VERTEX MODELS AND OTHER RESULTS IN THE THEORY OF QUASI-TRAINGULAR HOPF-ALGEBRAS . DIFFERENTIAL GEOMETRIC METHODS IN THEORETICAL PHYSICS . vol. 245 , 373 - 385 .

Majid S ( 1990 ) . Representation-theoretic rank and double hopf algebras . Communications in Algebra vol. 18 , ( 11 ) 3705 - 3712 .

Majid S ( 1989 ) . Erratum: Liouville theorem for the Yang–Mills self-duality equations [J. Math. Phys. 2 9 , 2303 (1988)] . Journal of Mathematical Physics vol. 30 , ( 7 ) 1652 - 1652 .

Majid S ( 1989 ) . Partial waves for the linearized Yang–Mills equation about a monopole background . Journal of Mathematical Physics vol. 30 , ( 5 ) 1150 - 1157 .

Majid S ( 1989 ) . Matched pairs of lie groups and Hopf algebra bicrossproducts . Nuclear and Particle Physics Proceedings vol. 6 , 422 - 424 .

Majid S ( 1988 ) . Liouville theorem for the Yang–Mills self-duality equations . Journal of Mathematical Physics vol. 29 , ( 10 ) 2303 - 2310 .