Hom-algebras and homology

Details Hom-algebras and homology Hom-algebras and homology

2007-12-20

arxiv.org/abs/0712.3515v3

Journal of Lie Theory 19 (2009) 409-421.

Mathematics

Rings and Algebras

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

Scientific paper

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.

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