Chunyue WANG, Qingcheng ZHANG, Jizhu NAN

6869

Hom-Lie 2-superalgebras

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,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
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