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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 | Document URI: | http://hdl.handle.net/1942/15494 | Link to publication/dataset: | http://www.tandfonline.com/eprint/KtMjHaIuwxCjKwryxcv5/full#.Uht05H-Tk7w | 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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