139 citations · 766 across the 45 of their papers we have counts for
19 papers · 1 filter
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…
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…
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…
Digital quantum groups
S. Majid, A. Pachol
We find and classify all bialgebras and Hopf algebras or `quantum groups' of dimension over the field . We summarise our results as a quiver, where the ve…
Quasitriangular structure and twisting of the 2+1 bicrossproduct model
S. Majid, P. K. Osei
We show that the bicrossproduct model quantum Poincare group in 2+1 dimensions acting on the quantum spacetime $[x_i,t]=\i…
Finite noncommutative geometries related to
M. E. Bassett, S. Majid
It is known that irreducible noncommutative differential structures over are classified by irreducible monics . We show that the cohomology $H_{\rm dR}^0(\Bbb F_p[…