Hom-algebras and homology

Understand

Classes of $G$-Hom-associative algebras are constructed as deformations of $G$-associative algebras along algebra endomorphisms.

• As special cases, we obtain Hom-associative and Hom-Lie algebras as deformations of associative and Lie algebras, respectively, along algebra endomorphisms.
• Chevalley-Eilenberg type homology for Hom-Lie algebras are also constructed.