Bialgebra cohomology and exact sequences
K-Theory and Homology
2023-09-20 v1 Quantum Algebra
Abstract
We show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomology of the universal cosovereign Hopf algebras in the generic (cosemisimple) case, done recently by Baraquin, Franz, Gerhold, Kula and Tobolski.
Cite
@article{arxiv.2309.10434,
title = {Bialgebra cohomology and exact sequences},
author = {Julien Bichon},
journal= {arXiv preprint arXiv:2309.10434},
year = {2023}
}