The Equivariant Brauer Group of a Cocommutative Hopf Algebra

被引：0

作者：

Dello, J. ^{[1
]}

Zhang, Y. H. ^{[1
]}

机构：

[1] Univ Hasselt, Dept Math, B-3590 Diepenbeek, Belgium

来源：

COMMUNICATIONS IN ALGEBRA | 2013年 / 41卷 / 11期

关键词：

Azumaya algebra; Brauer group; Hopf algebra; 16H05; 16K50; 16T05;

D O I：

10.1080/00927872.2012.692417

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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)-> BRM(k, H)->((pi) over tilde)Gal(k, H) is obtained. Furthermore, we prove the surjectivity of (pi) over tilde under certain circumstances. This generalizes Beattie's exact sequence to the "infinite" case.

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收藏

页码：4161 / 4194

页数：34

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