139 citations · 766 across the 45 of their papers we have counts for
46 papers
Coquasi-bialgebroids and cocycle twisting
Xiao Han, Shahn Majid
We introduce coquasi-bialgebroids over a noncommutative base algebra. Using Takeuchi's \(\times_B\)-coalgebra formalism, we require the coproduct to remain an algebra map into the…
Finite group gauge theory on graphs and gravity-like modes
Shahn Majid, Francisco Simão
We study gauge theory with finite group on a graph using noncommutative differential geometry and Hopf algebra methods with -valued holonomies replaced by gauge fields v…
Fermions in the fuzzy sphere Kaluza-Klein model
Chengcheng Liu, Shahn Majid
We consider spinors on the total space of a Kaluza-Klein model with fuzzy sphere fibre and geometrically realised Dirac operator on the product. We show that a single massless spin…
Quadratic algebras and idempotent braided sets
Tatiana Gateva-Ivanova, Shahn Majid
We study the Yang-Baxter algebras associated to finite set-theoretic solutions of the braid relations. We introduce an equivalent set of quadratic relations $\Re…
Yang-Mills field from fuzzy sphere quantum Kaluza-Klein model
Chengcheng Liu, Shahn Majid
Using the framework of quantum Riemannian geometry, we show that gravity on the product of spacetime and a fuzzy sphere is equivalent under minimal assumptions to gravity on spacet…
Quantum geodesic flows on graphs
Edwin Beggs, Shahn Majid
We revisit the construction of quantum Riemannian geometries on graphs starting from a hermitian metric compatible connection, which always exists. We use this method to find quant…