English

Universal imbedding of a Hom-Lie Triple System

Rings and Algebras 2017-09-27 v1 Mathematical Physics math.MP

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 Z/2Z\mathbb{Z}/2\mathbb{Z}- graded Lie algebras and Lie algebra automorphism, then finally give some characterizations of this subcategory.

Keywords

Cite

@article{arxiv.1709.08714,
  title  = {Universal imbedding of a Hom-Lie Triple System},
  author = {Robert Vandermolen},
  journal= {arXiv preprint arXiv:1709.08714},
  year   = {2017}
}

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15 pages