3-ary Hom-Lie superalgebras induced Hom-Lie superalgebras

2016/05/24 by Baoling Guan, Liangyun Chen, Bing Sun · 1 citation
Mathematics · #math.RA

paper · pdf · doi:10.1007/s00006-017-0801-3

published as Advances in Applied Clifford Algebras ,2017(27)(4),3063-3082 · 23pages. arXiv admin note: substantial text overlap with arXiv:1504.06980 by other authors

arxiv created 2016/05/24 · arxiv updated 2017/11/08

Abstract

The purpose of this paper is to study the relationships between a Hom-Lie superalgebra and its induced 3-ary-Hom-Lie superalgebra. We provide an overview of the theory and explore the structure properties such as ideals, center, derived series, solvability, nilpotency, central extensions, and the cohomology.

Citations

• On (n+1)-Hom-Lie Algebras Induced by n-Hom-Lie Algebras

Cited by

• Some constructions of multiplicative n-ary Hom-Nambu algebras

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