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arXiv · 0805.3437

Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules

Florin Panaite·Freddy Van Oystaeyen
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Abstract

Let H be a Hopf algebra with bijective antipode, let α, βbe two Hopf algebra automorphisms of H and M a finite dimensional (α, β)-Yetter-Drinfeld module. We prove that End(M) endowed with certain structures becomes an H-Azumaya algebra, and the set of H-Azumaya algebras of this type is a subgroup of BQ(k, H), the Brauer group of H.

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BibTeXRIS

Florin Panaite, Freddy Van Oystaeyen. 2008-05-22. Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules. https://arxiv.org/abs/0805.3437

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