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arXiv · 1802.07287

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

Ling Liu·Abdenacer Makhlouf·Claudia Menini·Florin Panaite
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Abstract

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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Ling Liu, Abdenacer Makhlouf, Claudia Menini, Florin Panaite. 2018-02-20. {sigma, tau}-Rota-Baxter operators, infinitesimal Hom-bialgebras and the associative (Bi)Hom-Yang-Baxter equation. https://arxiv.org/abs/1802.07287

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