Quasi-elementary H-Azumaya algebras arising from generalized (anti) Yetter-Drinfeld modules
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2008
- DOI:
- 10.48550/arXiv.0805.3437
- arXiv:
- arXiv:0805.3437
- Bibcode:
- 2008arXiv0805.3437P
- Keywords:
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- Mathematics - Quantum Algebra
- E-Print:
- 15 pages