Representations and derivations of Hom-Lie conformal superalgebras

2018/07/08 by Guo, Shuangjian, Dong, Lihong, Wang, Shengxiang
#17A30 #17B45 #17B81 #17D25 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1807.03638

Abstract

In this paper, we introduce a representation theory of Hom-Lie conformal superalgebras and discuss the cases of adjoint representations. Furthermore, we develop cohomology theory of Hom-Lie conformal superalgebras and discuss some applications to the study of deformations of regular Hom-Lie conformal superalgebras. Finally, we introduce derivations of multiplicative Hom-Lie conformal superalgebras and study their properties.

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