Corestriction for algebras with group action

被引：2

作者：

Ladisch, Frieder ^{[1
]}

机构：

[1] Univ Rostock, Inst Math, D-18057 Rostock, Germany

来源：

JOURNAL OF ALGEBRA | 2015年 / 439卷

关键词：

Brauer-Clifford group; Equivariant Brauer group; Corestriction; Tensor induction; G-algebras; Azumaya algebras; BRAUER-CLIFFORD GROUP; TENSOR INDUCTION; REPRESENTATIONS; RINGS;

D O I：

10.1016/j.jalgebra.2015.06.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define a corestriction map for equivariant Brauer groups in the sense of Frohlich and Wall, which contain as a special case the Brauer-Clifford groups introduced by Turull. We show that this corestriction map has similar properties as the corestriction map in group cohomology (especially Galois cohomology). In particular, composing corestriction and restriction associated to a subgroup H <= G amounts to powering with the index vertical bar G : H vertical bar. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：438 / 453

页数：16

共 18 条

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