4 papers
Differential calculus on Hopf--Galois extension via the DurdeviÄ braiding
Arnab Bhattacharjee
We introduce a class of right --covariant first--order differential calculi on principal comodule algebras generated by the DurdeviÄ braiding and a chosen vertical ideal.…
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…
Multi-filament coordination rescues active transport from inertia-induced spinning arrest
Anuradha Rajput, Arnab Bhattacharjee, Annwesha Dutta
Active filaments driven by tangential forces can become trapped in a spinning state when attached to a heavy head, where activity and inertia drive persistent rotation rather than…
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,…