Degenerations of Zinbiel and nilpotent Leibniz algebras

被引：40

作者：

Kaygorodov, Ivan ^{[1
]}

Popov, Yury ^{[2
,3
]}

Pozhidaev, Alexandre ^{[3
,4
]}

Volkov, Yury ^{[5
]}

机构：

[1] Univ Fed ABC, CMCC, Santo Andre, Brazil

[2] Univ Estadual Campinas, IMECC, Campinas, SP, Brazil

[3] Novosibirsk State Univ, Dept Math & Mech, Novosibirsk, Russia

[4] Sobolev Inst Math, Novosibirsk, Russia

[5] St Petersburg State Univ, Dept Math & Mech, St Petersburg, Russia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2018年 / 66卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Leibniz algebra; Zinbiel algebra; nilpotent algebra; degeneration; rigid algebra; 17D99; LIE-ALGEBRAS; DIMENSION LESS; CLASSIFICATION; VARIETIES;

D O I：

10.1080/03081087.2017.1319457

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe degenerations of four-dimensional Zinbiel and fourdimensional nilpotent Leibniz algebras over C. In particular, we describe all irreducible components in the corresponding varieties.

引用

页码：704 / 716

页数：13

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