English

A complement on representations of Hom-Lie algebras

Rings and Algebras 2018-09-06 v2 Mathematical Physics math.MP

Abstract

In this paper, we give a new series of coboundary operators of Hom-Lie algebras. And prove that cohomology groups with respect to coboundary operators are isomorphic. Then, we revisit representations of Hom-Lie algebras, and generalize the relation between Lie algebras and their representations to Hom-Lie algebras.

Keywords

Cite

@article{arxiv.1703.01400,
  title  = {A complement on representations of Hom-Lie algebras},
  author = {Zhen Xiong},
  journal= {arXiv preprint arXiv:1703.01400},
  year   = {2018}
}
R2 v1 2026-06-22T18:35:26.250Z