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Journal of Lie Theory 19 (2009), No. 2, 409--421
Copyright Heldermann Verlag 2009

Hom-Algebras and Homology

Donald Yau
Department of Mathematics, Ohio State University, 1179 University Drive, Newark, OH 43055, U.S.A.

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.

Keywords: G-Hom-associative algebra, Hom-associative algebra, Hom-Lie algebra, Chevalley-Eilenberg homology.

MSC: 17A30, 17B55, 17B68

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