BiHom-Novikov algebras and infinitesimal BiHom-bialgebras

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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Bibliographic Details
Published in:Journal of algebra 2020-10, Vol.560, p.1146-1172
Main Authors: Liu, Ling, Makhlouf, Abdenacer, Menini, Claudia, Panaite, Florin
Format: Article
Language:English
Subjects:
Associative BiHom-Yang-Baxter equation
BiHom-Novikov algebra
BiHom-Novikov-Poisson algebra
BiHom-pre-Lie algebra
General Mathematics
Infinitesimal BiHom-bialgebra
Mathematics
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Description
Summary: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.
ISSN:0021-8693
1090-266X
DOI:10.1016/j.jalgebra.2020.06.012