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.
引用
收藏
页码：4161 / 4194
页数：34
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