Leibniz central extensions of Lie superalgebras

被引：1

作者：

Wang, Yan ^{[1
]}

Pei, Yufeng ^{[2
]}

Deng, Shaoqiang ^{[3
,4
]}

机构：

[1] Tianjin Univ, Dept Math, Tianjin 300072, Peoples R China

[2] Shanghai Normal Univ, Dept Math, Shanghai 200234, Peoples R China

[3] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[4] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2014年 / 13卷 / 08期

关键词：

Lie superalgebra; Leibniz superalgebra; Leibniz central extension; UNIVERSAL CENTRAL EXTENSIONS; COHOMOLOGY; ALGEBRAS; HOMOLOGY;

D O I：

10.1142/S0219498814500522

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we develop a general theory on Leibniz central extensions of Lie superalgebras and apply it to determine the second Leibniz cohomology groups for several classes of Lie superalgebras, including classical Lie superalgebras, Neveu-Schwarz superalgebras, differentiably simple Lie superalgebras, and affine (toroidal) Kac-Moody Lie superalgebras.

引用

页数：20

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