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Communications in Algebra Volume 41, 2013 - Issue 11
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Original Articles

The Equivariant Brauer Group of a Cocommutative Hopf Algebra

J. Dello Department of Mathematics, University of Hasselt, Diepenbeek, BelgiumCorrespondence[email protected]
&
Y. H. Zhang Department of Mathematics, University of Hasselt, Diepenbeek, Belgium
Pages 4161-4194 | Received 27 Oct 2011, Published online: 25 Aug 2013
 
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Abstract

We investigate the Brauer group BRM(k, H) of a cocommutative Hopf algebra H (H can be nonfinitely generated). BRM(k, H) is the bigger Brauer group of H-module Taylor–Azumaya algebras (which do not necessarily contain a unit). An exact sequence

is obtained. Furthermore, we prove the surjectivity of under certain circumstances. This generalizes Beattie's exact sequence to the “infinite” case.

2010 Mathematics Subject Classification:

Notes

Communicated by M. Cohen.

*Aspirant van het FWO-Vlaanderen.

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