Quasi-elementary <Emphasis Type="Italic">H</Emphasis>-Azumaya Algebras Arising from Generalized (Anti) Yetter-Drinfeld Modules |
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| Authors: | Florin Panaite Freddy Van Oystaeyen |
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| Institution: | 1.Institute of Mathematics of the Romanian Academy,Bucharest,Romania;2.Department of Mathematics and Computer Science,University of Antwerp,Antwerp,Belgium |
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| Abstract: | Let H be a Hopf algebra with bijective antipode, α, β ∈ Aut
Hopf
(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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