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Title: The equivariant Brauer group of a cocommutative Hopf algebra
Authors: DELLO, Jeroen 
ZHANG, Yinhuo 
Issue Date: 2013
Source: Communication in Algebra, 41 (11), p. 4161-4194
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 1-->Br(k)-->BM(k,H)--> Gal(k,H) is obtained. Furthermore, we prove the surjectivity of ˜ under certain circumstances. This generalizes Beattie’s exact sequence to the “infinite” case.
Keywords: Azumaya algebra; Brauer group; Hopf algebra
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DOI: 10.1080/00927872.2012.692417
ISI #: 000323482000012
Rights: Copyright belongs to the publisher
Category: A1
Type: Journal Contribution
Validations: ecoom 2014
Appears in Collections:Research publications

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