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, PachoĊ 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
.
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