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3-ary Hom-Lie Superalgebras Induced By Hom-Lie Superalgebras

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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.

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Authors and Affiliations

  1. College of Sciences, Qiqihar University, Qiqihar, 161006, China

    Baoling Guan

  2. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, China

    Liangyun Chen & Bing Sun

Authors
  1. Baoling Guan
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  2. Liangyun Chen
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  3. Bing Sun
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Corresponding author

Correspondence to Liangyun Chen.

Additional information

Communicated by Rafał Abłamowicz

Supported by NNSF of China (Nos. 11171055, 11471090), NSF of Jilin province (No. 20170101048JC) and Scientific Research Fund of Heilongjiang Provincial Education Department (No. 12541900).

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Guan, B., Chen, L. & Sun, B. 3-ary Hom-Lie Superalgebras Induced By Hom-Lie Superalgebras. Adv. Appl. Clifford Algebras 27, 3063–3082 (2017). https://doi.org/10.1007/s00006-017-0801-3

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  • DOI: https://doi.org/10.1007/s00006-017-0801-3

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