(Co)Homology and universal central extension of Hom-Leibniz algebras

被引：37

作者：

Cheng, Yong Sheng ^{[1
,2
,3
]}

Su, Yu Cai ^{[3
,4
]}

机构：

[1] Henan Univ, Inst Contemporary Math, Kaifeng 475004, Peoples R China

[2] Henan Univ, Coll Math & Informat Sci, Kaifeng 475004, Peoples R China

[3] Univ Sci & Technol China, Wu Wen Tsun Key Lab Math, Hefei 230026, Peoples R China

[4] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Hom-Leibniz algebra; (co)homology theory; central extension; LIE-ALGEBRAS; HOMOLOGY; DEFORMATIONS;

D O I：

10.1007/s10114-011-9626-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Hom-Leibniz algebra is a natural generalization of Leibniz algebras and Hom-Lie algebras. In this paper, we develop some structure theory (such as (co)homology groups, universal central extensions) of Hom-Leibniz algebras based on some works of Loday and Pirashvili.

引用

页码：813 / 830

页数：18

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