2018/12/19 by Guo, Shuangjian, Wang, Shengxiang
#17A30 #17B45 #17B81 #17D25 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.1812.08608
In this paper, we introduce the representation theory of δ-Hom-Jordan Lie conformal superalgebras and discuss the cases of adjoint representations. Furthermore, we develop the cohomology theory of Hom-Lie conformal superalgebras and discuss some applications to the study of deformations of regular δ-Hom-Jordan Lie conformal superalgebras. Finally, we introduce derivations of multiplicative δ-Hom-Jordan Lie conformal superalgebras and study their properties.