802 citations · 2.6k across the 100 of their papers we have counts for
110 papers
Quantum geodesic flow on the integer lattice line
Edwin Beggs, Shahn Majid
We use a recent formalism of quantum geodesics in noncommutative geometry to construct geodesic flow on the infinite chain ----. We find that…
Quadratic algebras associated to permutation idempotent solutions of the YBE
Tatiana Gateva-Ivanova, Shahn Majid
We study the quadratic algebras associated to a class of strictly braided but idempotent set-theoretic solutions of the Yang-Baxter or braid relations. In the in…
Bisections and cocycles on Hopf algebroids
Xiao Han, Shahn Majid
We introduce and study the group of bisections of a Hopf algebroid and show that they form a group crossed module or 2-group with the group…
Quantum Kaluza-Klein theory with
Chengcheng Liu, Shahn Majid
Following steps analogous to classical Kaluza-Klein theory, we solve for the quantum Riemannian geometry on in terms of classical Riemannian ge…
Dirac operator associated to a quantum metric
Shahn Majid
We construct a canonical geometrically realised Connes spectral triple or `Dirac operator' from the data of a quantum metric and quantum Levi-Civi…
Algebraic Aspects of Boundaries in the Kitaev Quantum Double Model
Alexander Cowtan, Shahn Majid
We provide a systematic treatment of boundaries based on subgroups with the Kitaev quantum double model in the bulk. The boundary sites are representations of…