Hom-Lie color algebra structures
Rings and Algebras
2012-05-01 v2 Mathematical Physics
math.MP
Abstract
This paper introduces the notion of Hom-Lie color algebra, which is a natural general- ization of Hom-Lie (super)algebras. Hom-Lie color algebras include also as special cases Lie (super) algebras and Lie color algebras. We study the homomorphism relation of Hom-Lie color algebras, and construct new algebras of such kind by a \sigma-twist. Hom-Lie color admissible algebras are also defined and investigated. They are finally classified via G-Hom-associative color algebras, where G is a subgroup of the symmetric group S_3.
Cite
@article{arxiv.1005.1127,
title = {Hom-Lie color algebra structures},
author = {Lamei Yuan},
journal= {arXiv preprint arXiv:1005.1127},
year = {2012}
}
Comments
16 pages