Induced 3-Hom-Lie superalgebras

Baoling Guan; Xinxin Tian; Lijun Tian; Baoling Guan; Xinxin Tian; Lijun Tian

doi:10.3934/era.2023237

Electronic Research Archive

2023, Volume 31, Issue 8: 4637-4651. doi: 10.3934/era.2023237

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Research article

Induced 3-Hom-Lie superalgebras

1.
College of Sciences, Qiqihar University, Qiqihar 161006, China
2.
School of Mathematics, Sun Yat-sen University, Guangzhou 510275, China
3.
College of Telecommunication and Electronic Engineering, Qiqihar University, Qiqihar 161006, China

Received: 01 April 2023 Revised: 26 May 2023 Accepted: 18 June 2023 Published: 29 June 2023

We construct 3-Hom-Lie superalgebras on a commutative Hom-superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Hom-Lie superalgebras by means of supertrace.
- induced 3-Hom-Lie superalgebra,
- derivation,
- induced representation,
- involution
Citation: Baoling Guan, Xinxin Tian, Lijun Tian. Induced 3-Hom-Lie superalgebras[J]. Electronic Research Archive, 2023, 31(8): 4637-4651. doi: 10.3934/era.2023237

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Abstract

We construct 3-Hom-Lie superalgebras on a commutative Hom-superalgebra by means of involution and even degree derivation. We construct a representation of induced 3-Hom-Lie superalgebras by means of supertrace.

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