Hom-algebras and homology
Rings and Algebras
2009-08-22 v3 Quantum Algebra
Abstract
Classes of -Hom-associative algebras are constructed as deformations of -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
Cite
@article{arxiv.0712.3515,
title = {Hom-algebras and homology},
author = {Donald Yau},
journal= {arXiv preprint arXiv:0712.3515},
year = {2009}
}
Comments
11 pages. Theorem 2.4 now covers G-associative algebras. To appear in Journal of Lie Theory