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arXiv · 2309.10434

Bialgebra cohomology and exact sequences

Julien Bichon
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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.

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Julien Bichon. 2023-09-19. Bialgebra cohomology and exact sequences. https://arxiv.org/abs/2309.10434

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