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BiHom-Novikov algebras and infinitesimal BiHom-bialgebras

2019/03/31 by Ling Liu, Abdenacer Makhlouf, Claudia Menini +1 · 2 citations
Mathematics · #math.QA

paper · pdf

published as J. Algebra 560 (2020), 1146-1172 · 22 pages. v2, final version, we modified the definition of a BiHom-Novikov-Poisson algebra in section 3

arxiv created 2020/06/30 · arxiv updated 2020/07/01

Abstract

We introduce and study infinitesimal BiHom-bialgebras, BiHom-Novikov algebras, BiHom-Novikov-Poisson algebras, and find some relations among these concepts. Our main result is to show how to obtain a left BiHom-pre-Lie algebra from an infinitesimal BiHom-bialgebra

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