On Rigid 2-Step Nilpotent Lie Algebras

被引：12

作者：

Alejandra Alvarez, Maria ^{[1
]}

机构：

[1] Univ Antofagasta, Fac Ciencias Basicas, Dept Matemat, Casilla 170, Antofagasta, Chile

来源：

ALGEBRA COLLOQUIUM | 2018年 / 25卷 / 02期

关键词：

nilpotent Lie algebras; variety of Lie algebras; deformations; cohomology; nilradicals;

D O I：

10.1142/S100538671800024X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note we consider 2-step nilpotent Lie algebras and give a criterion for the rigidity of this class in the variety N-n(2) of 2-step nilpotent Lie algebras of dimension n. We apply this criterion to prove that every rigid Lie algebra in N-n(2) is indecomposable, except for h(3) circle plus C and h(3) circle plus h(3).

引用

页码：349 / 360

页数：12

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