Extraction Algorithm of Hom-Lie Algebras Based on Solvable and Nilpotent Groups
Rings and Algebras
2023-05-02 v2
Abstract
Hom-Lie algebras are generalizations of Lie algebras that arise naturally in the study of nonassociative algebraic structures. In this paper, the concepts of solvable and nilpotent Hom-Lie algebras studied further. In the theory of groups, investigations of the properties of the solvable and nilpotent groups are well-developed. We establish a theory of the solvable and nilpotent Hom-Lie algebras analogous to that of the solvable and nilpotent groups. We also provide examples to illustrate our results and discuss possible directions for further research.
Cite
@article{arxiv.2303.14826,
title = {Extraction Algorithm of Hom-Lie Algebras Based on Solvable and Nilpotent Groups},
author = {Shadi Shaqaqha and Nadeen Kdaisat},
journal= {arXiv preprint arXiv:2303.14826},
year = {2023}
}