Hom-Lie color algebra structures

Details Hom-Lie color algebra structures Hom-Lie color algebra structures

2010-05-07

arxiv.org/abs/1005.1127v2

Mathematics

Rings and Algebras

16 pages

Scientific paper

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.

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