Cohomology of Hom-Lie superalgebras and q-deformed Witt superalgebra

被引：0
|
作者：
Faouzi Ammar
Abdenacer Makhlouf
Nejib Saadaoui
机构：
[1] University of Sfax,
[2] University of Haute Alsace,undefined
来源：
Czechoslovak Mathematical Journal | 2013年 / 63卷
关键词：
Hom-Lie superalgebra; derivation; cohomology; -deformed superalgebra; 17A70; 17B56; 17B68;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Hom-Lie algebra (superalgebra) structure appeared naturally in q-deformations, based on σ-derivations of Witt and Virasoro algebras (superalgebras). They are a twisted version of Lie algebras (superalgebras), obtained by deforming the Jacobi identity by a homomorphism. In this paper, we discuss the concept of αk-derivation, a representation theory, and provide a cohomology complex of Hom-Lie superalgebras. Moreover, we study central extensions. As application, we compute derivations and the second cohomology group of a twisted osp(1, 2) superalgebra and q-deformed Witt superalgebra.
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页码：721 / 761
页数：40
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