On Hom-Leibniz superalgebras

Wen Teng, Taijie You, Yuanyuan Ke

Abstract


In this paper, we define a new type of cohomology for Hom-Leibniz superalgebras which controls deformations of Hom-Leibniz
superalgebras. The cohomology and the associated deformation theory
for Hom-Leibniz superalgebras as developed here are also extended to equvariant context, under the presence of finite group actions on Hom-Leibniz superalgebras.


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