Induced 3-Hom-Lie superalgebras

Baoling Guan; Xinxin Tian; Lijun Tian

doi:10.3934/era.2023237

Electronic Research Archive (Jun 2023)

Induced 3-Hom-Lie superalgebras

Baoling Guan,
Xinxin Tian,
Lijun Tian

Affiliations

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

DOI: https://doi.org/10.3934/era.2023237
Journal volume & issue: Vol. 31, no. 8
pp. 4637 – 4651

Abstract

Read online

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.

Published in Electronic Research Archive

ISSN: 2688-1594 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics; Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
Website: https://www.aimspress.com/journal/era

About the journal

Abstract

Keywords