The Brauer group of Yetter-Drinfel'd module algebras

被引：41

作者：

Caenepeel, S ^{[1
]}

VanOystaeyen, F ^{[1
]}

Zhang, YH ^{[1
]}

机构：

[1] UNIV INSTELLING ANTWERP,DEPT MATH,B-2610 WILRIJK,BELGIUM

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 349卷 / 09期

关键词：

Brauer group; Azumaya algebra; Hopf algebra; Yetter-Drinfel'd module; separable algebra;

D O I：

10.1090/S0002-9947-97-01839-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H be a Hopf algebra with bijective antipode. In a previous paper, we introduced H-Azumaya Yetter-Drinfel'd module algebras, and the Brauer group BQ(k, H) classifying them. We continue our study of BQ(k, H), and we generalize some properties that were previously known for the Brauer-Long group. We also investigate separability properties for H-Azumaya algebras, and this leads to the notion of strongly separable H-Azumaya algebra, and to a new subgroup of the Brauer group BQ(k, H).

引用

页码：3737 / 3771

页数：35

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