Hochschild Cohomology of skew group rings and invariants

被引：14

作者：

Marcos, E. N. ^{[1
]}

Martinez-Villa, R. ^{[2
]}

Martins, Ma. I. R. ^{[1
]}

机构：

[1] Univ Sao Paulo, Dept Matemat IME, BR-05315970 Sao Paulo, Brazil

[2] UNAM, Inst Matemat, Morelia 58089, Michoacan, Mexico

来源：

CENTRAL EUROPEAN JOURNAL OF MATHEMATICS | 2004年 / 2卷 / 02期

关键词：

Hochschild cohomology; skew group ring; Galois covering;

D O I：

10.2478/BF02476538

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let A be a k-algebra and G be a group acting on A. We show that G also acts on the Hochschild cohomology algebra HH center dot(A) and that there is a monomorphism of rings HH center dot(A)(G) curved right arrow HH center dot(A[G]). That allows us to show the existence of a monomorphism from HH center dot((A) over tilde)(G) into HH center dot(A), where (A) over tilde is a Galois covering with group G. (C) Central European Science Journals. All rights reserved.

引用

页码：177 / 190

页数：14

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