Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1503-87
Keywords
Hom-Lie 2-superalgebras, superderivations, representations, deformations, abelian extensions, Hom-associative Rota--Baxter superalgebras
First Page
1
Last Page
20
Recommended Citation
WANG, C, ZHANG, Q, & NAN, J (2016). Hom-Lie 2-superalgebras. Turkish Journal of Mathematics 40 (1): 1-20. https://doi.org/10.3906/mat-1503-87
