The Nonvanishing First Hochschild Cohomology of Twisted Finite Simple Group Algebras

IF 0.5 4区数学 Q3 MATHEMATICS

Algebras and Representation Theory Pub Date : 2023-01-11 DOI:10.1007/s10468-022-10195-6

William Murphy

引用次数: 0

Abstract

Let G be a finite simple group and k be an algebraically closed field of prime characteristic dividing the order of G. We show that for all 2-cocycles α ∈ Z²(G;k^×), the first Hochschild cohomology group of the twisted group algebra HH¹(k_αG) is nonzero.

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扭曲有限单群代数的非消失第一Hochschild上同调

我们证明，对于所有 2 循环 α∈ Z2(G;k×)，扭曲群代数 HH1(kαG)的第一个霍赫希尔德同调群非零。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Algebras and Representation Theory 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Algebras and Representation Theory features carefully refereed papers relating, in its broadest sense, to the structure and representation theory of algebras, including Lie algebras and superalgebras, rings of differential operators, group rings and algebras, C*-algebras and Hopf algebras, with particular emphasis on quantum groups. The journal contains high level, significant and original research papers, as well as expository survey papers written by specialists who present the state-of-the-art of well-defined subjects or subdomains. Occasionally, special issues on specific subjects are published as well, the latter allowing specialists and non-specialists to quickly get acquainted with new developments and topics within the field of rings, algebras and their applications.