On Hom-algebra structures
环与代数
2007-06-13 v3 表示论
摘要
A Hom-algebra structure is a multiplication on a vector space where the structure is twisted by a homomorphism. The structure of Hom-Lie algebra was introduced by Hartwig, Larsson and Silvestrov and extended by Larsson and Silvestrov to quasi-hom Lie and quasi-Lie algebras. In this paper we introduce and study Hom-associative, Hom-Leibniz, and Hom-Lie admissible algebraic structures which generalize the well known associative, Leibniz and Lie admissible algebras. Also, we characterize the flexible Hom-algebras in this case. We also explain some connections between Hom-Lie algebras and Santilli's isotopies of associative and Lie algebras.
引用
@article{arxiv.math/0609501,
title = {On Hom-algebra structures},
author = {A. Makhlouf and S. Silvestrov},
journal= {arXiv preprint arXiv:math/0609501},
year = {2007}
}
备注
11 pages