Contragredient hom-Lie superalgebras

被引：0

作者：

Farhangdoost, M. R. ^{[1
]}

Polsangi, A. R. Attari ^{[1
]}

机构：

[1] Shiraz Univ, Coll Sci, Dept Math, POB 71457-44776, Shiraz, Iran

来源：

ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2022年 / 48期

关键词：

hom-Lie superalgebra; contragredient hom-Lie superalgebra; 76-graded hom-Lie superalgebra; VIRASORO ALGEBRA; DEFORMATIONS; EXTENSIONS; COHOMOLOGY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce the notions of 76-graded hom-Lie superalgebras and contragredient hom-Lie superalgebras. We introduce the invariant bilinear forms on a 76-graded hom-Lie superalgebra and we prove that a consistent supersymmetric alpha-invariant form on the local part can be extended uniquely to a bilinear form with the same property on the whole 76-graded hom-Lie superalgebra. Furthermore, we check the condition in which hom-Lie superalgebra is simple.

引用

页码：568 / 579

页数：12

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