BiHom-pre-Lie algebras, BiHom-Leibniz algebras and Rota-Baxter operators on BiHom-Lie algebras

2017/06/01 by Ling Liu, Abdenacer Makhlouf, Liu, Ling +5 · 1 citation
Computer Science · Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.1706.00474

18 pages. The content of this paper was part of the first version of arXiv:math.QA/1703.07275. In v2 we added a short section about BiHom-PostLie algebras

openalex publication_date 2017/06/01 · arxiv created 2020/02/02 · arxiv updated 2020/02/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate some properties of Rota-Baxter operators on BiHom-Lie algebras. Along the way, we introduce BiHom analogues of pre-Lie and Leibniz algebras.

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• sigma, tau-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation
• Rota-Baxter operators on BiHom-associative algebras and related structures

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