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.
WANG, CHUNYUE; ZHANG, QINGCHENG; and NAN, JIZHU
Turkish Journal of Mathematics: Vol. 40:
1, Article 1.
Available at: https://journals.tubitak.gov.tr/math/vol40/iss1/1