Degenerations of 7-dimensional nilpotent Lie algebras

被引：38

作者：

Burde, D ^{[1
]}

机构：

[1] Univ Vienna, Fac Math, A-1090 Vienna, Austria

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 04期

关键词：

degeneration; variety of nilpotent Lie algebra laws;

D O I：

10.1081/AGB-200053956

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the varieties of Lie algebra laws and their subvarieties of nilpotent Lie algebra laws. We classify all degenerations of (almost all) five-step and six-step nilpotent seven-dimensional complex Lie algebras. One of the main tools is the use of trivial and adjoint cohomology of these algebras. In addition, we give some new results on the varieties of complex Lie algebra laws in low dimension.

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页码：1259 / 1277

页数：19

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