A twisted generalization of Lie-Yamaguti algebras

Details A twisted generalization of Lie-Yamaguti algebras A twisted generalization of Lie-Yamaguti algebras

2010-12-02

arxiv.org/abs/1012.0445v1

Mathematics

Rings and Algebras

12 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

A twisted generalization of Lie-Yamaguti algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with A twisted generalization of Lie-Yamaguti algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A twisted generalization of Lie-Yamaguti algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-603833