Crossed Extensions of Lie Algebras

被引：0

作者：

Das, Apurba ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur, Uttar Pradesh, India

来源：

JOURNAL OF LIE THEORY | 2022年 / 32卷 / 02期

关键词：

Lie algebras; Chevalley-Eilenberg cohomology; crossed modules; crossed extensions; COHOMOLOGY; MODULES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is known that Hochschild cohomology groups are represented by crossed extensions of associative algebras. In this paper, we introduce crossed n-fold extensions of a Lie algebra g by a module M, for n >= 2. We show that such extensions represent elements in the (n + 1)-th Chevalley-Eilenberg cohomology group H-CE(n+1)(g, M).

引用

页码：313 / 326

页数：14

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