A complement on representations of Hom-Lie algebras

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.

References in corpus (3)

• Hom-algebras and homology
• Hom-Lie algebroids, Hom-Lie bialgebroids and Hom-Courant algebroids
• Hom-Big Brackets: Theory and Applications

Cited by in corpus (2)

• Hom-Lie groups of a class of Hom-Lie algebra
• Equivalent description of Hom-Lie algebroids