{sigma, tau}-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation

Abdenacer Makhlouf; Claudia Menini; Florin Panaite; Ling Liu

arxiv: 1802.07287 · v1 · pith:FL6SI3SXnew · submitted 2018-02-20 · 🧮 math.QA

{sigma, tau}-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation

Ling Liu , Abdenacer Makhlouf , Claudia Menini , Florin Panaite This is my paper

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keywords rota-baxteroperatorsigmaassociativeequationhom-yang-baxterinfinitesimalalgebra

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We introduce the concept of {sigma, tau}-Rota-Baxter operator, as a twisted version of a Rota-Baxter operator of weight zero. We show how to obtain a certain {sigma, tau}-Rota-Baxter operator from a solution of the associative (Bi)Hom-Yang-Baxter equation, and, in a compatible way, a Hom-pre-Lie algebra from an infinitesimal Hom-bialgebra.

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{sigma, tau}-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation

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