Hom-algebras and homology

Abstract

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.

11 pages. Theorem 2.4 now covers G-associative algebras. To appear in Journal of Lie Theory

References in corpus (3)

• Notes on Formal Deformations of Hom-associative and Hom-Lie Algebras
• Module Hom-algebras
• Hom-Algebras and Hom-Coalgebras

Cited by in corpus (9)

• Module Hom-algebras
• The classical Hom-Yang-Baxter equation and Hom-Lie bialgebras
• Hom-quantum groups II: cobraided Hom-bialgebras and Hom-quantum geometry
• On unitality conditions for Hom-associative algebras
• Hom-alternative algebras and Hom-Jordan algebras
• On Hom type algebras
• Hom-Algebras and Hom-Coalgebras
• Hom-Lie Superalgebras and Hom-Lie admissible Superalgebras
• On hom-algebras with surjective twisting