Publications: Prof Shahn Majid

Majid S ( 2023 ) . Dirac operator associated to a quantum metric .

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 )

Lira-Torres E, Majid S ( 2022 ) . Geometric Dirac operator on noncommutative torus and $M_2(\Bbb C)$ .

Cowtan A, Majid S ( 2022 ) . Algebraic Aspects of Boundaries in the Kitaev Quantum Double Model .

Argota-Quiroz JN, Majid S ( 2022 ) . Quantum gravity on finite spacetimes and dynamical mass .

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

Han X, Majid S ( 2022 ) . Hopf-Galois extensions and twisted Hopf algebroids .

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

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

Majid S, Simão F ( 2022 ) . Quantum Jet Bundles .

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

Beggs E, Majid S ( 2022 ) . Quantum geodesic flows and curvature .

Majid S, Rietsch K ( 2021 ) . Planar spider theorem and asymmetric Frobenius algebras .

Argota-Quiroz JN, Majid S ( 2021 ) . Fuzzy and discrete black hole models . Classical and Quantum Gravity vol. 38 , ( 14 )

Cowtan A, Majid S ( 2021 ) . Quantum double aspects of surface code models .

Lira-Torres E, Majid S ( 2021 ) . Geometric Dirac operator on the fuzzy sphere .

Majid S ( 2021 ) . Quantum and braided ZX calculus .

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)

Argota-Quiroz JN, Majid S ( 2020 ) . Fuzzy and discrete black hole models .

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, Pachol A ( 2020 ) . Digital quantum groups .

Argota-Quiroz JN, Majid S ( 2020 ) . Quantum gravity on polygons and $\Bbb R\times \Bbb Z_n$ FLRW model .

Torres EL, Majid S ( 2020 ) . Quantum Gravity and Riemannian Geometry on the Fuzzy Sphere .

Bassett ME, Majid S ( 2020 ) . Finite Noncommutative Geometries Related to F<inf>p</inf>[x] . Algebras and Representation Theory vol. 23 , ( 2 ) 251 - 274 .

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

Majid S ( 2020 ) . Quantum geometry, logic and probability .

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

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

Beggs E, Majid S ( 2019 ) . Quantum geodesics in quantum mechanics .

Majid S ( 2019 ) . Quantum geometry of Boolean algebras and de Morgan duality .

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 )

Aziz R, Majid S ( 2019 ) . Quantum differentials on cross product Hopf algebras .

Majid S, Williams L ( 2019 ) . Poisson Principal Bundles .

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

Majid S ( 2018 ) . Quantum Riemannian geometry and particle creation on the integer line .

Majid S ( 2018 ) . Quantum gravity on a square graph .

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 S, Pachol A ( 2018 ) . Digital finite quantum Riemannian geometries .

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 S ( 2017 ) . On the emergence of the structure of Physics .

Majid S, Osei PK ( 2017 ) . Quasitriangular structure and twisting of the 2+1 bicrossproduct model .

Majid S, Williams L ( 2017 ) . Quantum Koszul formula on quantum spacetime .

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

Akylzhanov R, Majid S, Ruzhansky M ( 2017 ) . Smooth dense subalgebras and Fourier multipliers on compact quantum groups .

Beggs E, Majid S ( 2017 ) . Quantum Bianchi identities and characteristic classes via DG categories .

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

Aziz RK, Majid S ( 2017 ) . Co-double bosonisation and dual bases of c_q[SL_2] and c_q[SL_3] .

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

Majid S, Pachol A ( 2017 ) . Classification of digital affine noncommutative geometries .

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

Majid S, Tao W ( 2016 ) . Generalised noncommutative geometry on finite groups and Hopf quivers .

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

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

Fritz C, Majid S ( 2016 ) . Noncommutative spherically symmetric spacetimes at semiclassical order .

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 .

Bassett ME, Majid S ( 2016 ) . Finite noncommutative geometries related to $F_p[x]$ .

Majid S ( 2015 ) . Hodge Star as Braided Fourier Transform .

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

Beggs E, Majid S ( 2015 ) . Spectral triples from bimodule connections and Chern connections .

Majid S, Tao WQ ( 2015 ) . Cosmological constant from quantum spacetime . Physical Review D - Particles, Fields, Gravitation and Cosmology vol. 91 , ( 12 )

Majid S, Tao W-Q ( 2014 ) . Cosmological constant from quantum spacetime .

Majid S, Tao W-Q ( 2014 ) . Noncommutative Differentials on Poisson-Lie groups and pre-Lie algebras .

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

Beggs EJ, Majid S ( 2014 ) . Quantum Riemannian geometry of phase space and nonassociativity .

Beggs EJ, Majid S ( 2014 ) . Semiquantisation Functor and Poisson-Riemannian Geometry, I .

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

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

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

Majid S ( 2013 ) . Emergence of Riemannian geometry and the massive graviton .

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

Majid S ( 2013 ) . Reconstruction and quantization of Riemannian structures .

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

Beggs E, Majid S ( 2013 ) . Gravity induced from quantum spacetime .

Majid S, Rietsch K ( 2012 ) . Lie theory and coverings of finite groups .

Majid S ( 2012 ) . Strict quantum 2-groups .

Majid S, Tao W ( 2012 ) . Duality for Generalised Differentials on Quantum Groups and Hopf quivers .

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 .

Majid S ( 2011 ) . q-Fuzzy Spheres and Quantum Differentials on B-q[SU2] and U-q(su(2)) . LETTERS IN MATHEMATICAL PHYSICS vol. 98 , ( 2 ) 167 - 191 .

Majid S ( 2011 ) . Newtonian gravity on quantum spacetime .

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 .

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 ,

Majid S ( 2010 ) . Noncommutative Riemannian geometry on graphs .

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

Majid S ( 2010 ) . Scaling Limit of the Noncommutative Black Hole .

Majid S ( 2010 ) . Almost commutative Riemannian geometry: wave operators .

Majid S, Tomasic I ( 2010 ) . On braided zeta functions .

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 ,

Peña JL, Majid S, Rietsch K ( 2010 ) . Lie theory of finite simple groups and the Roth property .

Beggs EJ, Majid S ( 2009 ) . Nonassociative Riemannian Geometry by Twisting .

Klim J, Majid S ( 2009 ) . Bicrossproduct Hopf quasigroups .

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 .

Klim J, Majid S ( 2009 ) . Hopf quasigroups and the algebraic 7-sphere .

Beggs EJ, Majid S ( 2009 ) . *-Compatible Connections in Noncommutative Riemannian Geometry .

Majid S ( 2008 ) . q-Fuzzy spheres and quantum differentials on B_q[SU_2] and U_q(su_2) .

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

Gateva-Ivanova T, Majid S ( 2008 ) . Quantum spaces associated to multipermutation solutions of level two .

Majid S, Schroers BJ ( 2008 ) . q-Deformation and Semidualisation in 3d Quantum Gravity .

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 .

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 .

Gateva-Ivanova T, Majid S ( 2007 ) . Set theoretic solutions of the Yang-Baxter equation, graphs and computations .

Brain S, Majid S ( 2007 ) . Quantisation of twistor theory by cocycle twist .

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 ) . Bar categories and star operations .

Majid S ( 2006 ) . Algebraic approach to quantum gravity II: noncommutative spacetime .

Majid S ( 2006 ) . Algebraic approach to quantum gravity III: noncommmutative Riemannian geometry .

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 ,

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

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

Freidel L, Majid S ( 2005 ) . Noncommutative Harmonic Analysis, Sampling Theory and the Duflo Map in 2+1 Quantum Gravity .

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 Model with Spontaneous Time Generation and Planckian bound .

Gateva-Ivanova T, Majid S ( 2005 ) . Matched pairs approach to set-theoretic solutions of the Yang-Baxter equation .

Majid S ( 2005 ) . Gauge theory on nonassociative spaces .

Beggs EJ, Majid S ( 2005 ) . Quantization by cochain twists and nonassociative differentials .

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 .

Akrami SE, Majid S ( 2004 ) . Braided Cyclic Cocycles and Non-Associative Geometry .

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 .

Majid S, Raineri E ( 2003 ) . Moduli of quantum Riemannian geometries on <= 4 points .

Majid S ( 2003 ) . Noncommutative Riemannian and Spin Geometry of the Standard q-Sphere .

Goldin GA, Majid S ( 2003 ) . On the Fock space for nonrelativistic anyon fields and braided tensor products .

Beggs EJ, Majid S ( 2003 ) . Semi-classical differential structures .

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

Majid S ( 2003 ) . Noncommutative physics on Lie algebras, Z_2^n lattices and Clifford algebras .

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 .

Majid S ( 2002 ) . 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 .

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

Majid S ( 2002 ) . Noncommutative Ricci curvature and Dirac operator on $C_q[SL_2]$ at roots of unity .

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 .

Ngakeu F, Majid S, Ezin J-P ( 2002 ) . Classification of differentials and Cartan calculus on bicrossproducts .

Majid S ( 2002 ) . Classification of differentials on quantum doubles and finite noncommutative geometry .

Batista E, Majid S ( 2002 ) . Noncommutative geometry of angular momentum space U(su(2)) .

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 .

Gomez X, Majid S ( 2001 ) . Braided Lie algebras and bicovariant differential calculi over coquasitriangular Hopf algebras .

Cameron PJ, Majid S ( 2001 ) . Braided Line and Counting Fixed Points of GL(d,F_q) .

Gomez X, Majid S ( 2001 ) . Noncommutative cohomology and electromagnetism on $C_q[SL_2]$ at roots of unity .

Ngakeu F, Majid S, Lambert D ( 2001 ) . Noncommutative Riemannian Geometry of the Alternating Group A_4 .

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

Majid S ( 2001 ) . Noncommutative Differentials and Yang-Mills on Permutation Groups S_N .

Majid S, Schucker T ( 2001 ) . $Z_2\times Z_2$ Lattice as a Connes-Lott-Quantum Group Model .

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

Albuquerque H, Majid S ( 2000 ) . Clifford algebras obtained by twisting of group algebras .

Majid S ( 2000 ) . Meaning of Noncommutative Geometry and the Planck-Scale Quantum Group .

Majid S ( 2000 ) . Quantum Groups and Noncommutative Geometry .

Majid S ( 2000 ) . Conceptual Issues for Noncommutative Gravity on Algebras and Finite Sets .

Majid S ( 2000 ) . Noncommutative Differential Geometry and Twisting of Quantum Groups .

Majid S ( 2000 ) . Riemannian geometry of quantum groups and finite groups with nonuniversal differentials .