Hom-Malcev superalgebras

被引：5

作者：

Nan, Jizhu ^{[1
]}

Wang, Chunyue ^{[1
,2
]}

Zhang, Qingcheng ^{[3
]}

机构：

[1] Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China

[2] Jilin Teachers Inst Engn & Technol, Sch Appl Sci, Changchun 130052, Peoples R China

[3] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

来源：

FRONTIERS OF MATHEMATICS IN CHINA | 2014年 / 9卷 / 03期

基金：

高等学校博士学科点专项科研基金;

关键词：

Hom-Malcev superalgebra; Hom-Malcev operator; representation; central extension; double extension; LIE-ALGEBRAS;

D O I：

10.1007/s11464-014-0351-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Hom-Malcev superalgebras can be considered as a deformation of Malcev superalgebras. We give the definition of Hom-Malcev superalgebras. Moreover, we characterize the Hom-Malcev operator and the representation of Hom-Malcev superalgebras. Finally, we study the central extension and the double extension of Hom-Malcev superalgebras.

引用

页码：567 / 584

页数：18

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