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Let H be a Hopf algebra with bijective antipode, let \alpha, \beta be twoHopf algebra automorphisms of H and M a finite dimensional (\alpha, \beta)-Yetter-Drinfeld module. We prove that End(M) endowed with certain structuresbecomes an H-Azumaya algebra, and the set of H-Azumaya algebras of this type isa subgroup of BQ(k, H), the Brauer group of H.

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