A complement on representations of Hom-Lie algebras

2017/03/04 by Xiong, Zhen
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1703.01400

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.

Related

• On Hom–Lie algebras
• On Hom-pre-Lie bialgebras
• Cohomology and Deformations of Hom-algebras
• Color Hom-Lie algebras, color Hom-Leibniz algebras and color omni-Hom-Lie algebras
• The full cohomology, abelian extensions and formal deformations of Hom-pre-Lie algebras