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Universal imbedding of a Hom-Lie Triple System

2017/09/25 by Robert R. Vandermolen, Robert Vandermolen, Vandermolen, Robert
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math-ph #math.MP #math.RA

paper · pdf · doi:10.48550/arxiv.1709.08714

15 pages

arxiv created 2017/09/25 · openalex publication_date 2017/09/25 · arxiv updated 2017/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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- graded Lie algebras and Lie algebra automorphism, then finally give some characterizations of this subcategory.

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