HOM-LIE COLOR ALGEBRA STRUCTURES

作者：Yuan Lamei^*

来源：Communications in Algebra, 2012, 40(2): 575-592.

DOI：10.1080/00927872.2010.533726

• G-Hom-associative color algebras
• Hom-Lie algebras
• Hom-Lie color admissible algebras
• Hom-Lie color algebras
• Homomorphism
• sigma-twists

The aim of this article is to introduce the notion of Hom-Lie color algebras. This class of algebras is a natural generalization of the Hom-Lie algebras as well as a special case of the quasi-hom-Lie algebras. In the article, homomorphism relations between Hom-Lie color algebras are defined and studied. We present a way to obtain Hom-Lie color algebras from the classical Lie color algebras along with algebra endomorphisms and offer some applications. Also, we introduce a multiplier sigma on the abelian group Gamma and provide constructions of new Hom-Lie color algebras from old ones by the sigma-twists. Finally, we explore some general classes of Hom-Lie color admissible algebras and describe all these classes via G-Hom-associative color algebras, where G is a subgroup of the symmetric group S-3.

• 出版日期2012
• 单位哈尔滨工业大学