Varieties of nilpotent complex Leibniz algebras of dimension less than five#

被引：44

作者：

Albeverio, S

Omirov, BA

Rakhimov, IS

机构：

[1] Uzbek Acad Sci, Inst Math, Tashkent, Uzbekistan

[2] Univ Bonn, Inst Angew Math, D-5300 Bonn, Germany

[3] Natl Univ Uzbekistan, Tashkent, Uzbekistan

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 05期

关键词：

degeneration; irreducible component; nilpotence; rigid algebra; variety of Leibniz algebras;

D O I：

10.1081/AGB-200061038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this work is to describe the irreducible components of the nilpotent complex Leibniz algebras varieties of dimension less than 5. We construct degenerations between one-parametric families of nilpotent Leibniz algebras and study the rigidity of these families.

引用

页码：1575 / 1585

页数：11

共 11 条

[1]

ALBEVERIO S, 2003, CLASSIFICATION 4 DIM, P12

[2]

Ayupov SA, 1998, ALGEBRA AND OPERATOR THEORY, P1

[3] On some classes of nilpotent Leibniz algebras [J].