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

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

2008-05-22

arxiv.org/abs/0805.3437v1

Mathematics

Quantum Algebra

15 pages

Scientific paper

Let H be a Hopf algebra with bijective antipode, let \alpha, \beta be two
Hopf algebra automorphisms of H and M a finite dimensional (\alpha, \beta
)-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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