Hom-Lie 2-superalgebras

Authors : Chunyue Wang, Qingcheng Zhang, Jizhu Nan

Pages : 1-20

View : 15 | Download : 11

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :Hom-Lie 2-superalgebras can be considered as the categorification of Hom-Lie superalgebras. We give the definition of Hom-Lie 2-superalgebras and study their superderivations. We obtain the representation, deformation, and abelian extensions related to the 2-cocycle and Hom-Nijenhuis operators. Moreover, we also construct a skeletal (strict) Hom-Lie 2-superalgebra from a Hom-associative Rota--Baxter superalgebra.
Keywords : Hom-Lie 2-superalgebras, superderivations, representations, deformations, abelian extensions, Hom-associative Rota--Baxter superalgebras