Classification of solvable real rigid Lie algebras with a nilradical of dimension n ≤ 6

被引：5

作者：

Bermudez, J. M. Ancochea

Campoamor-Stursberg, R. ^{[1
]}

机构：

[1] Univ Complutense Madrid, Inst Matemat Interdisciplinar, Fac CC Matemat, E-28040 Madrid, Spain

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 471卷

关键词：

Real Lie algebra; Solvable; Rigidity; Cohomology; DEFORMATION;

D O I：

10.1016/j.laa.2014.12.019

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The complete classification of real solvable rigid Lie algebras possessing a nilradical of dimension at most six is given. Eleven new isomorphism classes of indecomposable algebras are obtained. It is further shown that the resulting solvable Lie algebras have a vanishing second Chevalley cohomology group, thus correspond to algebraically rigid Lie algebras. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：54 / 75

页数：22

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