Lie algebras of cohomological codimension one期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Lie algebras of cohomological codimension one

Authors:	Grant F Armstrong Grant Cairns Gunky Kim

Institution:	School of Mathematics, La Trobe University, Melbourne, Australia 3083 ; School of Mathematics, La Trobe University, Melbourne, Australia 3083 ; School of Mathematics, La Trobe University, Melbourne, Australia 3083

Abstract:	We show that if $\mathfrak{g}$ is a finite dimensional real Lie algebra, then $\mathfrak{g}$ has cohomological dimension $cd(\mathfrak{g})=\dim (\mathfrak{g})-1$ if and only if $\mathfrak{g}$ is a unimodular extension of the two-dimensional non-Abelian Lie algebra $\mathfrak{aff}$ .

Keywords:	Lie algebra cohomology cohomological dimension

	点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文