4 papers · 1 filter
Hopf Images of Hopf algebra Coactions
Arnab Bhattacharjee
We introduce the Hopf image of a right coaction of a Hopf algebra on an algebra as the smallest Hopf subalgebra through which the coaction factors. We establish its basic propertie…
Cyclic adjoint modules and their embeddings in quantized enveloping algebras
Arnab Bhattacharjee
We study cyclic adjoint modules arising from the relative locally finite part of the adjoint action of a quantum Levi subalgebra on a quantized enveloping algebra. We classify embe…
Hopf images of coactions and effective symmetry of quantum principal bundles
Arnab Bhattacharjee
We introduce Hopf images of coactions of Hopf algebras and develop their role in the geometry of quantum principal bundles. Assuming cosemisimplicity of the structure Hopf algebra,…
Differential calculus on Hopf--Galois extension via the Durdević braiding
Arnab Bhattacharjee
We introduce a class of right --covariant first--order differential calculi on principal comodule algebras generated by the Durdević braiding and a chosen vertical ideal. St…