Versal Deformations of Leibniz Algebras

被引：18

作者：

Fialowski, Alice ^{[1
]}

Mandal, Ashis ^{[2
]}

Mukherjee, Goutam ^{[2
]}

机构：

[1] Eotvos Lorand Univ, H-1364 Budapest, Hungary

[2] Indian Stat Inst, Kolkata, India

来源：

JOURNAL OF K-THEORY | 2009年 / 3卷 / 02期

关键词：

Leibniz algebra; Leibniz cohomology; infinitesimal deformation; versal deformation; obstruction; RINGS; NILPOTENT;

D O I：

10.1017/is008004027jkt049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we consider deformations of Leibniz algebras over a field of characteristic zero. The main problem in deformation theory is to describe all non-equivalent deformations of a given object. We give a method to solve this problem completely, namely work out a Construction of a versal deformation for a given Leibniz algebra, which induces all non-equivalent deformations and is Unique oil the infinitesimal level.

引用

页码：327 / 358

页数：32

共 25 条

[1] On nilpotent and simple Leibniz algebras [J].