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arXiv · 1509.04844

Cohomology and Coquasi-bialgebras in the category of Yetter-Drinfeld Modules

Ivàn Angiono·Alessandro Ardizzoni·Claudia Menini
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Abstract

We prove that a finite-dimensional Hopf algebra with the dual Chevalley Property over a field of characteristic zero is quasi-isomorphic to a Radford-Majid bosonization whenever the third Hochschild cohomology group in the category of Yetter-Drinfeld modules of its diagram with coefficients in the base field vanishes. Moreover we show that this vanishing occurs in meaningful examples where the diagram is a Nichols algebra.

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Ivàn Angiono, Alessandro Ardizzoni, Claudia Menini. 2015-09-16. Cohomology and Coquasi-bialgebras in the category of Yetter-Drinfeld Modules. https://arxiv.org/abs/1509.04844

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