Release Time:2019-03-09  Hits:

Indexed by: Journal Papers

Date of Publication: 2016-01-01

Journal: TURKISH JOURNAL OF MATHEMATICS

Included Journals: SCIE

Volume: 40

Issue: 1

Page Number: 1-20

ISSN: 1300-0098

Key Words: Hom-Lie 2-superalgebras; superderivations; representations; deformations; abelian extensions; Hom-associative Rota-Baxter superalgebras

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.