Skip to main content
School of Mathematical Sciences

Professor Shahn Majid

Shahn

Professor of Mathematics

Email: s.majid@qmul.ac.uk
Telephone: +44 (0)20 7882 5450
Room Number: Mathematical Sciences Building, Room: MB-G25
Website: http://www.maths.qmul.ac.uk/~majid/Welcome.html
Office Hours: Tuesdays 11.00am-12.00pm (except week 7) in Academic Hub 401 in the maths building. I am also available on email, or on zoom by appointment.

Profile

Shahn Majid’s is a leading authority on algebraic methods for quantum gravity and other fields where quantum theory and geometry collide, including Hopf algebras and noncommutative geometry. He pioneered the modern approach to the quantum spacetime hypothesis, the idea that the coordinates x,y,z,t that determine where and when an event takes place are in fact elements of a quantum algebra and hence subject to quantum uncertainty, due to quantum gravity effects. This allows one to understand the nature of physics at the mysterious Planck scale as a practical alternative to so-called Theories of Everything such as string theory. His  approach entails the generalisation of our very concepts of differential calculus and geometry to a suitable quantum Riemannian geometry, coming out of but not limited to the notion of  quantum groups (a generalisation of the concept of symmetry that he earlier helped pioneer in the 1980s). Other examples include quantum black hole models as well as noncommutative geometry more widely. Shahn Majid is also responsible for a theory of braided algebra where algebraic expressions are wired up like in a computer (and where wires can get tangled) and is currently interested in applying the above ideas to quantum information and quantum computing.

Shahn Majid is the author of 4 books. His 600 page text Foundations of Quantum Group Theory remains a bible for researchers in the field. His Quantum Groups Primer covers a lecture course from when he was in Cambridge. On Space and Time is a book of collected essays including his own and those of luminaries such as Roger Penrose and the Alain Connes. His new 2020 book, with Beggs, is an 800 page monograph Quantum Riemannian Geometry laying out the new formalism. For more details on all of the above, see his personal website http://www.maths.qmul.ac.uk/~majid

Shahn Majid was educated with 1st degree from Cambridge, including part III of the maths tripos, and with a PhD from Harvard. After a year in Swansea, he spent ten years in Cambridge and as a Fellow of Pembroke College there, moving to Queen Mary in 1999. He was Director of Pure Mathematics 2010-13 and has been an EPSRC Postdoctoral Fellow, an EPSRC Advanced Fellow, a Royal Society University Research Fellow and a Leverhulme Senior Research Fellow.  As well as regular research and teaching, Shahn Majid is joint director of the London Taught Course Centre, which provides graduate-level courses for a consortium of universities in London and beyond. See www.ltcc.ac.uk

 

Research

Publications

  • Argota-Quiroz JN, Majid S (2022). Quantum gravity on finite spacetimes and dynamical mass Proceedings of Science Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity".
  • Liu C, Majid S (2022). Quantum geodesics on quantum Minkowski spacetime Journal of Physics A: Mathematical and Theoretical nameOfConference.
  • Lira-Torres E, Majid S (2022). Geometric Dirac operator on noncommutative torus and $M_2(\Bbb C)$ journal nameOfConference.
  • Cowtan A, Majid S (2022). Algebraic Aspects of Boundaries in the Kitaev Quantum Double Model journal nameOfConference.
  • Argota-Quiroz JN, Majid S (2022). Quantum gravity on finite spacetimes and dynamical mass journal nameOfConference.
  • Majid S (2022). Quantum and braided ZX calculus Journal of Physics A: Mathematical and Theoretical nameOfConference.
  • Han X, Majid S (2022). Hopf-Galois extensions and twisted Hopf algebroids journal nameOfConference.
  • Argota-Quiroz JN, Majid S (2022). Quantum Riemannian geometry of the discrete interval and q-deformation journal nameOfConference.
  • Cowtan A, Majid S (2022). Quantum double aspects of surface code models Journal of Mathematical Physics nameOfConference.
  • Majid S, Simão F (2022). Quantum Jet Bundles journal nameOfConference.
  • Majid S, Lira Torres E (2022). Geometric Dirac operator on the fuzzy sphere Letters in Mathematical Physics nameOfConference.
  • Beggs E, Majid S (2022). Quantum geodesic flows and curvature journal nameOfConference.
  • Majid S, Rietsch K (2021). Planar spider theorem and asymmetric Frobenius algebras journal nameOfConference.
  • Argota-Quiroz JN, Majid S (2021). Fuzzy and discrete black hole models Classical and Quantum Gravity nameOfConference.
  • Cowtan A, Majid S (2021). Quantum double aspects of surface code models journal nameOfConference.
  • Lira-Torres E, Majid S (2021). Geometric Dirac operator on the fuzzy sphere journal nameOfConference.
  • Majid S (2021). Quantum and braided ZX calculus journal nameOfConference.
  • Majid S, Lira Torres E (2021). Quantum gravity and Riemannian geometry on the fuzzy sphere Letters in Mathematical Physics nameOfConference.
  • Majid S, Williams L (2021). Poisson principal bundles Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) nameOfConference.
  • Argota-Quiroz JN, Majid S (2020). Fuzzy and discrete black hole models journal nameOfConference.
  • Majid S, Argota Quiroz J (2020). Quantum gravity on polygons and R x Z_n FLRW mode Classical and Quantum Gravity nameOfConference.
  • Majid S, Pachol A (2020). Digital quantum groups Journal of Mathematical Physics nameOfConference.
  • Majid S, AZIZ R (2020). Quantum differentials on cross product Hopf algebras Journal of Algebra nameOfConference.
  • Majid S, Pachol A (2020). Digital quantum groups journal nameOfConference.
  • Argota-Quiroz JN, Majid S (2020). Quantum gravity on polygons and $\Bbb R\times \Bbb Z_n$ FLRW model journal nameOfConference.
  • Torres EL, Majid S (2020). Quantum Gravity and Riemannian Geometry on the Fuzzy Sphere journal nameOfConference.
  • Bassett ME, Majid S (2020). Finite Noncommutative Geometries Related to Fp[x] Algebras and Representation Theory nameOfConference.
  • Majid S, Pachoł A (2020). Digital finite quantum Riemannian geometries Journal of Physics A: Mathematical and Theoretical nameOfConference.
  • Majid S (2020). Quantum geometry, logic and probability journal nameOfConference.
  • Majid S (2020). Reconstruction and quantization of Riemannian structures Journal of Mathematical Physics nameOfConference.
  • Beggs EJ, Majid S (2020). Quantum Riemannian Geometry journal nameOfConference.
  • Beggs E, Majid S (2019). Quantum geodesics in quantum mechanics journal nameOfConference.
  • Majid S (2019). Quantum geometry of Boolean algebras and de Morgan duality journal nameOfConference.
  • Majid S (2019). Quantum gravity on a square graph Classical and Quantum Gravity nameOfConference.
  • Majid S, Tao W-Q (2019). Generalised noncommutative geometry on finite groups and Hopf quivers Journal of Noncommutative Geometry nameOfConference.
  • Majid S (2019). Quantum Riemannian geometry and particle creation on the integer line Classical and Quantum Gravity nameOfConference.
  • Aziz R, Majid S (2019). Quantum differentials on cross product Hopf algebras journal nameOfConference.
  • Majid S, Williams L (2019). Poisson Principal Bundles journal nameOfConference.
  • Aziz R, Majid S (2019). Co-double bosonisation and dual bases of cq[SL2] and cq[SL3] Journal of Algebra nameOfConference.
  • Majid S (2018). Quantum Riemannian geometry and particle creation on the integer line journal nameOfConference.
  • Majid S (2018). Quantum gravity on a square graph journal nameOfConference.
  • Akylzhanov R, Majid S, Ruzhansky M (2018). Smooth Dense Subalgebras and Fourier Multipliers on Compact Quantum Groups Communications in Mathematical Physics nameOfConference.
  • Majid S, Pachol A (2018). Digital finite quantum Riemannian geometries journal nameOfConference.
  • MAJID SH (2018). On the Emergence of the Structure of Physics Philosophical Transactions A: Mathematical, Physical and Engineering Sciences nameOfConference.
  • MAJID SH, PACHOL A (2018). Classification of digital affine noncommutative geometries Journal of Mathematical Physics nameOfConference.
  • MAJID SH, WILLIAMS L (2018). Quantum Koszul formula on quantum spacetime Journal of Geometry and Physics nameOfConference.
  • MAJID SH, Osei P (2018). Quasitriangular structure and twisting of the 3D bicrossproduct model Journal of High Energy Physics nameOfConference.
  • MAJID SH, Beggs EJ (2017). Quantum Bianchi identities via DG categories Journal of Geometry and Physics nameOfConference.
  • Majid S (2017). On the emergence of the structure of Physics journal nameOfConference.
  • Majid S, Osei PK (2017). Quasitriangular structure and twisting of the 2+1 bicrossproduct model journal nameOfConference.
  • Majid S, Williams L (2017). Quantum Koszul formula on quantum spacetime journal nameOfConference.
  • MAJID SH, Beggs EJ (2017). Spectral triples from bimodule connections and Chern connections Journal of Noncommutative Geometry nameOfConference.
  • Fritz C, Majid S (2017). Noncommutative spherically symmetric spacetimes at semiclassical order Classical and Quantum Gravity nameOfConference.
  • Akylzhanov R, Majid S, Ruzhansky M (2017). Smooth dense subalgebras and Fourier multipliers on compact quantum groups journal nameOfConference.
  • Beggs E, Majid S (2017). Quantum Bianchi identities and characteristic classes via DG categories journal nameOfConference.
  • MAJID SH (2017). Quantum Riemannian geometry of phase space and nonassociativity Demonstratio Mathematica nameOfConference.
  • Aziz RK, Majid S (2017). Co-double bosonisation and dual bases of c_q[SL_2] and c_q[SL_3] journal nameOfConference.
  • MAJID SH (2017). Hodge Star as Braided Fourier Transform Algebras and Representation Theory nameOfConference.
  • Majid S, Pachol A (2017). Classification of digital affine noncommutative geometries journal nameOfConference.
  • MAJID SH, Lopez Pena J, Rietsch K (2017). Lie theory of finite simple groups and Roth property Cambridge Philosophical Society: Mathematical Proceedings nameOfConference.
  • Majid S, Tao W (2016). Generalised noncommutative geometry on finite groups and Hopf quivers journal nameOfConference.
  • MAJID SH, Beggs EJ (2016). Poisson-Riemannian geometry Journal of Geometry and Physics nameOfConference.
  • Majid S (2016). Non-commutative Differential Geometry journal nameOfConference.
  • Fritz C, Majid S (2016). Noncommutative spherically symmetric spacetimes at semiclassical order journal nameOfConference.
  • Majid S, Tao W-Q (publicationYear). Noncommutative differentials on Poisson–Lie groups and pre-Lie algebras Pacific Journal of Mathematics nameOfConference.
  • Bassett ME, Majid S (2016). Finite noncommutative geometries related to $F_p[x]$ journal nameOfConference.
  • Majid S (2015). Hodge Star as Braided Fourier Transform journal nameOfConference.
  • Majid S, Tao WQ (2015). Duality for generalised differentials on quantum groups Journal of Algebra nameOfConference.
  • Beggs E, Majid S (2015). Spectral triples from bimodule connections and Chern connections journal nameOfConference.
  • Majid S, Tao WQ (2015). Cosmological constant from quantum spacetime Physical Review D - Particles, Fields, Gravitation and Cosmology nameOfConference.
  • Majid S, Tao W-Q (2014). Cosmological constant from quantum spacetime journal nameOfConference.
  • Majid S, Tao W-Q (2014). Noncommutative Differentials on Poisson-Lie groups and pre-Lie algebras journal nameOfConference.
  • MAJID SH (2014). The self-representing Universe journal nameOfConference.
  • Beggs EJ, Majid S (2014). Quantum Riemannian geometry of phase space and nonassociativity journal nameOfConference.
  • Beggs EJ, Majid S (2014). Semiquantisation Functor and Poisson-Riemannian Geometry, I journal nameOfConference.
  • Beggs EJ, Majid S (2014). Gravity induced from quantum spacetime CLASSICAL AND QUANTUM GRAVITY nameOfConference.
  • Majid S (2014). Emergence of Riemannian geometry and the massive graviton 2ND INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS nameOfConference.
  • Majid S (2014). Newtonian gravity on quantum spacetime 1ST INTERNATIONAL CONFERENCE ON NEW FRONTIERS IN PHYSICS nameOfConference.
  • Majid S (2013). Emergence of Riemannian geometry and the massive graviton journal nameOfConference.
  • Majid S, Rietsch K (2013). Lie theory and coverings of finite groups JOURNAL OF ALGEBRA nameOfConference.
  • Majid S (2013). Reconstruction and quantization of Riemannian structures journal nameOfConference.
  • Majid S (2013). Noncommutative Riemannian geometry on graphs JOURNAL OF GEOMETRY AND PHYSICS nameOfConference.
  • Beggs E, Majid S (2013). Gravity induced from quantum spacetime journal nameOfConference.
  • Majid S, Rietsch K (2012). Lie theory and coverings of finite groups journal nameOfConference.
  • Majid S (2012). Strict quantum 2-groups journal nameOfConference.
  • Majid S, Tao W (2012). Duality for Generalised Differentials on Quantum Groups and Hopf quivers journal nameOfConference.
  • Majid S (2012). Almost Commutative Riemannian Geometry: Wave Operators COMMUNICATIONS IN MATHEMATICAL PHYSICS nameOfConference.
  • Majid S (2012). Emergence of Wave Equations from Quantum Geometry SIXTH INTERNATIONAL SCHOOL ON FIELD THEORY AND GRAVITATION-2012 nameOfConference.
  • Majid S (2011). q-Fuzzy Spheres and Quantum Differentials on B-q[SU2] and U-q(su(2)) LETTERS IN MATHEMATICAL PHYSICS nameOfConference.
  • Majid S (2011). Newtonian gravity on quantum spacetime journal nameOfConference.
  • Gateva-Ivanova T, Majid S (2011). Quantum Spaces Associated to Multipermutation Solutions of Level Two ALGEBR REPRESENT TH nameOfConference.
  • Beggs EJ, Majid S (2011). *-compatible connections in noncommutative Riemannian geometry J GEOM PHYS nameOfConference.
  • TOMASIC I, Majid S (2011). On braided zeta functions Bull. Math. Sci. nameOfConference.
  • 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 nameOfConference.
  • Majid S (2010). Noncommutative Riemannian geometry on graphs journal nameOfConference.
  • Beggs E, Majid S (2010). Nonassociative Riemannian geometry by twisting Journal of Physics Conference Series nameOfConference.
  • Majid S (2010). Scaling Limit of the Noncommutative Black Hole journal nameOfConference.
  • Majid S (2010). Almost commutative Riemannian geometry: wave operators journal nameOfConference.
  • Majid S, Tomasic I (2010). On braided zeta functions journal nameOfConference.
  • Klim J, Majid S (2010). Hopf quasigroups and the algebraic 7-sphere J ALGEBRA nameOfConference.
  • Beggs EJ, Majid S (2010). Quantization by cochain twists and nonassociative differentials J MATH PHYS nameOfConference.
  • Peña JL, Majid S, Rietsch K (2010). Lie theory of finite simple groups and the Roth property journal nameOfConference.
  • Beggs EJ, Majid S (2009). Nonassociative Riemannian Geometry by Twisting journal nameOfConference.
  • Klim J, Majid S (2009). Bicrossproduct Hopf quasigroups journal nameOfConference.
  • Majid S, Schroers BJ (2009). q-deformation and semidualization in 3D quantum gravity J PHYS A-MATH THEOR nameOfConference.
  • Beggs EJ, Majid S (2009). Bar Categories and Star Operations ALGEBRAS AND REPRESENTATION THEORY nameOfConference.
  • Klim J, Majid S (2009). Hopf quasigroups and the algebraic 7-sphere journal nameOfConference.
  • Beggs EJ, Majid S (2009). *-Compatible Connections in Noncommutative Riemannian Geometry journal nameOfConference.
  • Majid S (2008). q-Fuzzy spheres and quantum differentials on B_q[SU_2] and U_q(su_2) journal nameOfConference.
  • Brain SJ, Majid S (2008). Quantisation of Twistor Theory by Cocycle Twist COMMUN MATH PHYS nameOfConference.
  • Gateva-Ivanova T, Majid S (2008). Quantum spaces associated to multipermutation solutions of level two journal nameOfConference.
  • Majid S, Schroers BJ (2008). q-Deformation and Semidualisation in 3d Quantum Gravity journal nameOfConference.
  • Freidel L, Majid S (2008). Noncommutative harmonic analysis, sampling theory and the Duflo map in 2+1 quantum gravity CLASSICAL QUANT GRAV nameOfConference.
  • Gateva-Ivanova T, Majid S (2008). Matched pairs approach to set theoretic solutions of the Yang-Baxter equation J ALGEBRA nameOfConference.
  • Gateva-Ivanova T, Majid S (2007). Set-theoretic solutions of the Yang-Baxter equation, graphs and computations JOURNAL OF SYMBOLIC COMPUTATION nameOfConference.
  • Hadfield T, Majid S (2007). Bicrossproduct approach to the Connes-Moscovici Hopf algebra J ALGEBRA nameOfConference.
  • Gateva-Ivanova T, Majid S (2007). Set theoretic solutions of the Yang-Baxter equation, graphs and computations journal nameOfConference.
  • Brain S, Majid S (2007). Quantisation of twistor theory by cocycle twist journal nameOfConference.
  • Majid S (2007). Algebraic approach to quantum gravity III: Non-commmutative riemannian geometry Quantum Gravity: Mathematical Models and Experimental Bounds nameOfConference.
  • Beggs EJ, Majid S (2006). Bar categories and star operations journal nameOfConference.
  • Majid S (2006). Algebraic approach to quantum gravity II: noncommutative spacetime journal nameOfConference.
  • Majid S (2006). Algebraic approach to quantum gravity III: noncommmutative Riemannian geometry journal nameOfConference.
  • Beggs EJ, Majid S (2006). Semiclassical differential structures PAC J MATH nameOfConference.
  • Majid S (2006). Bicrossproduct Hopf Algebras and Noncommutative Spacetime journal nameOfConference.
  • Majid S (2006). Hopf Algebras and q-Deformation Quantum Groups journal nameOfConference.
  • MAJID SH (2006). What is a quantum group journal nameOfConference.
  • Freidel L, Majid S (2005). Noncommutative Harmonic Analysis, Sampling Theory and the Duflo Map in 2+1 Quantum Gravity journal nameOfConference.
  • Majid S (2005). Gauge theory on nonassociative spaces J MATH PHYS nameOfConference.
  • Majid S (2005). Noncommutative model with spontaneous time generation and Planckian bound J MATH PHYS nameOfConference.
  • Majid S (2005). Noncommutative Model with Spontaneous Time Generation and Planckian bound journal nameOfConference.
  • Gateva-Ivanova T, Majid S (2005). Matched pairs approach to set-theoretic solutions of the Yang-Baxter equation journal nameOfConference.
  • Majid S (2005). Gauge theory on nonassociative spaces journal nameOfConference.
  • Beggs EJ, Majid S (2005). Quantization by cochain twists and nonassociative differentials journal nameOfConference.
  • Majid S (2005). Noncommutative Riemannian and spin geometry of the standard q-sphere COMMUN MATH PHYS nameOfConference.
  • MAJID SH (2005). Classification of differentials on quantum doubles and finite noncommutative geometry journal nameOfConference.
  • Majid S (2005). Noncommutative differentials and Yang-Mills on permutation groups S-n journal nameOfConference.
  • Majid S, Raineri E (2004). Moduli of quantum Riemannian geometries on <= 4 points J MATH PHYS nameOfConference.
  • Ngakeu F, Majid S, Ezin JP (2004). Cartan calculus for quantum differentials on bicrossproducts ACTA APPL MATH nameOfConference.
  • Akrami SE, Majid S (2004). Braided cyclic cocycles and nonassociative geometry J MATH PHYS nameOfConference.
  • Goldin GA, Majid S (2004). On the Fock space for nonrelativistic anyon fields and braided tensor products J MATH PHYS nameOfConference.
  • Majid S (2004). Special issue: Quantum groups and noncommutative geometry - Introduction J MATH PHYS nameOfConference.
  • Akrami SE, Majid S (2004). Braided Cyclic Cocycles and Non-Associative Geometry journal nameOfConference.
  • MAJID SH, Akrami SE (2004). Braided cyclic cocycles and nonassociative geometry J. Math. Phys. nameOfConference.
  • Majid S (2004). Noncommutative physics on Lie algebras, (Z(2))(n) lattices and Clifford algebras CLIFFORD ALGEBRAS: APPLICATIONS TO MATHEMATICS, PHYSICS, AND ENGINEERING nameOfConference.
  • Majid S, Raineri E (2003). Moduli of quantum Riemannian geometries on <= 4 points journal nameOfConference.
  • Majid S (2003). Noncommutative Riemannian and Spin Geometry of the Standard q-Sphere journal nameOfConference.
  • Goldin GA, Majid S (2003). On the Fock space for nonrelativistic anyon fields and braided tensor products journal nameOfConference.
  • Beggs EJ, Majid S (2003). Semi-classical differential structures journal nameOfConference.
  • Gomez X, Majid S (2003). Braided Lie algebras and bicovdriant differential calculi over co-quasitriangular Hopf algebras J ALGEBRA nameOfConference.
  • Majid S (2003). Noncommutative physics on Lie algebras, Z_2^n lattices and Clifford algebras journal nameOfConference.
  • Cameron PJ, Majid S (2003). Braided line and counting fixed points of GL(d, F-q) COMMUN ALGEBRA nameOfConference.
  • Batista E, Majid S (2003). Noncommutative geometry of angular momentum space U(su(2)) J MATH PHYS nameOfConference.
  • 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 nameOfConference.
  • Majid S (2003). Noncommutative ricci curvature and dirac operator on Cq[SL2] at roots of unity LETT MATH PHYS nameOfConference.
  • MAJID SH, GOMEZ X (2003). Relating quantum and braided Lie algebras journal nameOfConference.
  • Majid S, Raineri E (2002). Electromagnetism and gauge theory on the permutation group S-3 J GEOM PHYS nameOfConference.
  • Majid S, Schucker T (2002). Z(2) x Z(2) lattice as a Connes-Lott-quantum group model J GEOM PHYS nameOfConference.
  • 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 nameOfConference.
  • Albuquerque H, Majid S (2002). Clifford algebras obtained by twisting of group algebras J PURE APPL ALGEBRA nameOfConference.
  • Majid S (2002). Noncommutative Ricci curvature and Dirac operator on $C_q[SL_2]$ at roots of unity journal nameOfConference.
  • Ngakeu F, Majid S, Lambert D (2002). Noncommutative Riemannian geometry of the alternating group A(4) J GEOM PHYS nameOfConference.
  • Gomez X, Majid S (2002). Noncommutative cohomology and electromagnetism on C-q[SL2] at roots of unity LETT MATH PHYS nameOfConference.
  • Ngakeu F, Majid S, Ezin J-P (2002). Classification of differentials and Cartan calculus on bicrossproducts journal nameOfConference.
  • Majid S (2002). Classification of differentials on quantum doubles and finite noncommutative geometry journal nameOfConference.
  • Batista E, Majid S (2002). Noncommutative geometry of angular momentum space U(su(2)) journal nameOfConference.
  • MAJID SH (2002). A Quantum Groups Primer journal nameOfConference.
  • Majid S (2002). Riemannian geometry of quantum groups and finite groups with nonuniversal differentials COMMUN MATH PHYS nameOfConference.
  • Gomez X, Majid S (2001). Braided Lie algebras and bicovariant differential calculi over coquasitriangular Hopf algebras journal nameOfConference.
  • Cameron PJ, Majid S (2001). Braided Line and Counting Fixed Points of GL(d,F_q) journal nameOfConference.
  • Gomez X, Majid S (2001). Noncommutative cohomology and electromagnetism on $C_q[SL_2]$ at roots of unity journal nameOfConference.
  • Ngakeu F, Majid S, Lambert D (2001). Noncommutative Riemannian Geometry of the Alternating Group A_4 journal nameOfConference.
  • Beggs EJ, Majid S (2001). Poisson-Lie T-duality for quasitriangular Lie bialgebras COMMUN MATH PHYS nameOfConference.
  • Majid S (2001). Noncommutative Differentials and Yang-Mills on Permutation Groups S_N journal nameOfConference.
  • Majid S, Schucker T (2001). $Z_2\times Z_2$ Lattice as a Connes-Lott-Quantum Group Model journal nameOfConference.
  • MAJID SH (2001). Noncommutative differential geometry and twisting of quantum groups journal nameOfConference.
  • Albuquerque H, Majid S (2000). Clifford algebras obtained by twisting of group algebras journal nameOfConference.
  • Majid S (2000). Meaning of Noncommutative Geometry and the Planck-Scale Quantum Group journal nameOfConference.
  • Majid S (2000). Quantum Groups and Noncommutative Geometry journal nameOfConference.
  • Majid S (2000). Conceptual Issues for Noncommutative Gravity on Algebras and Finite Sets journal nameOfConference.
  • Majid S (2000). Noncommutative Differential Geometry and Twisting of Quantum Groups journal nameOfConference.
  • Majid S (2000). Riemannian geometry of quantum groups and finite groups with nonuniversal differentials journal nameOfConference.
Back to top