Hom-Lie color algebra structures

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 σ-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.

16 pages

References in corpus (1)

• Deformations of Lie Algebras using $\sigma$-derivations

Cited by in corpus (2)

• Hom Gel'fand-Dorfman bialgebras and Hom-Lie conformal algebras
• Quadratic and symplectic structures on 3-(Hom)-$\rho$-Lie algebras