A twisted generalization of Lie-Yamaguti algebras

Autor:	Gaparayi, Donatien, Issa, A. Nourou
Rok vydání:	2010
Předmět:	Mathematics - Rings and Algebras 17A30 17D99
Druh dokumentu:	Working Paper
Popis:	A twisted generalization of Lie-Yamaguti algebras, called Hom-Lie-Yamaguti algebras, is defined. Hom-Lie-Yamaguti algebras generalize Hom-Lie triple systems (and susequently ternary Hom-Nambu algebras) and Hom-Lie algebras in the same way as Lie-Yamaguti algebras generalize Lie triple systems and Lie algebras. It is shown that the category of Hom-Lie-Yamaguti algebras is closed under twisting by self-morphisms. Constructions of Hom-Lie-Yamaguti algebras from classical Lie-Yamaguti algebras and Malcev algebras are given. It is observed that, when the ternary operation of a Hom-Lie-Yamaguti algebra expresses through its binary one in a specific way, then such a Hom-Lie-Yamaguti algebra is a Hom-Malcev algebra. Comment: 12 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1012.0445 Zobrazit plný text záznamu View this record from Arxiv