Completeness of quasi-filiform Lie algebras

被引：4

作者：

Almaraz Luengo, E. ^{[1
]}

Ancochea Bermudez, J. M. ^{[2
]}

Garcia Vergnolle, L. ^{[3
]}

机构：

[1] Univ Complutense, Fac CC Matemat, Dept Estadist & Invest Operat, E-28040 Madrid, Spain

[2] Univ Complutense, Fac CC Matemat, Dept Geometria & Topol, E-28040 Madrid, Spain

[3] Univ Politecn Madrid, Dept Matemat Aplicada Urbanismo Edificac & Medio, E-28040 Madrid, Spain

来源：

LINEAR & MULTILINEAR ALGEBRA | 2013年 / 61卷 / 05期

关键词：

complete Lie algebra; quasi-filiform; cohomology; 17B30; 17B70;

D O I：

10.1080/03081087.2012.696250

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is proved that for any quasi-filiform of non-zero rank the solvable Lie algebra obtained by adjoining a maximal torus of outer derivations is complete. Further, for any positive integer m, it is shown that there exist solvable complete Lie algebras with the second ChevalleyEilenberg cohomology group of arbitrary dimension.

引用

页码：582 / 595

页数：14

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