FILIFORM LIE ALGEBRAS OF DIMENSION 8 AS DEGENERATIONS

被引：3

作者：

Felipe Herrera-Granada, Joan ^{[1
]}

Tirao, Paulo ^{[1
]}

机构：

[1] Univ Nacl Cordoba, CIEM FaMAF, RA-5000 Cordoba, Argentina

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 04期

关键词：

Filiform Lie algebras; Vergne's conjecture; Grunewald-O'Halloran conjecture; degenerations; deformations;

D O I：

10.1142/S0219498813501442

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For each complex 8-dimensional filiform Lie algebra we find another nonisomorphic Lie algebra that degenerates to it. Since this is already known for nilpotent Lie algebras of rank >= 1, only the characteristically nilpotent ones should be considered.

引用

页数：10