Article
2023
·
1 citations
Representations and deformations of 3-Hom-<i>?</i>-Lie algebras
Peyghan, Esmaeil, Gezer, Aydin, Bagheri, Zahra, Gultekin, Inci
Abstract
The aim of this paper is to introduce 3-Hom-rho-Lie algebra structures generalizing the algebras of 3-Hom-Lie algebra. Also, we investigate the representations and deformations theory of this type of Hom-Lie algebras. Moreover, we introduce the definition of extensions and abelian extensions of 3-Hom-rho-Lie algebras and show that associated to any abelian extension, there is a representation and a 2-cocycle.
Keywords
3-Hom-rho-Lie algebras
abelian extensions
deformations
representations
LIE-ALGEBRAS
COHOMOLOGY
EXTENSIONS
WoS Categories
Mathematics, Applied
Mathematics
Citation
- Journal
- JOURNAL OF ALGEBRA AND ITS APPLICATIONS
- Year
- 2023
- Volume
- 22
- Issue
- 03
- ISSN
- 0219-4988
- eISSN
- 1793-6829
- DOI
- 10.1142/S0219498823500640
- WoS UID
- WOS:000936153400004