Representations of Simple Hom-Lie algebras
Representation Theory
2019-03-22 v1 Quantum Algebra
Abstract
The purpose of this paper is to study representations of simple multiplicative Hom-Lie algebras. First, we provide a new proof using Killing form for characterization theorem of simple Hom-Lie algebras given by Chen and Han, then discuss the representations structure of simple multiplicative Hom-Lie algebras. Moreover, we study weight modules and root space decompositions of simple multiplicative Hom-Lie algebras, characterize weight modules and provide examples of representations of -type Hom-Lie algebras.
Keywords
Cite
@article{arxiv.1903.08874,
title = {Representations of Simple Hom-Lie algebras},
author = {Boujemaa Agrebaoui and Karima Benali and Abdenacer Makhlouf},
journal= {arXiv preprint arXiv:1903.08874},
year = {2019}
}