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Universal imbedding of a Hom-Lie Triple System

Published 25 Sep 2017 in math.RA, math-ph, and math.MP | (1709.08714v1)

Abstract: In this article we will build a universal imbedding of a regular Hom- Lie triple system into a Lie algebra and show that the category of regular Hom-Lie triple systems is equivalent to a full subcategory of pairs of $\mathbb{Z}/2\mathbb{Z}$- graded Lie algebras and Lie algebra automorphism, then finally give some characterizations of this subcategory.

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