3 papers
math.RA2025
Generalized Yetter-Drinfeld modules, the center of bi-actegories and groupoid-crossed braided bicategories
Ryan Aziz, Joost Vercruysse
We study the notion of the -center of a -biactegory (or bimodule category) , relative to an op-monoidal fun…
math.QA2019
Quantum differentials on cross product Hopf algebras
Ryan Aziz, Shahn Majid
We construct canonical strongly bicovariant differential graded algebra structures on all four flavours of cross product Hopf algebras, namely double cross products $A\hookrightarr…
math.QA2017
Co-double bosonisation and dual bases of c_q[SL_2] and c_q[SL_3]
Ryan Kasyfil Aziz, Shahn Majid
We find a dual version of a previous double-bosonisation theorem whereby each finite-dimensional braided-Hopf algebra in the category of comodules of a coquasitriangular Hopf a…