Novikov Poisson bialgebra

In this paper, we present the concept of Novikov Poisson bialgebra and establish the equivalence between matched pairs, Manin triples, and Novikov Poisson bialgebras. Specifically, a Novikov Poisson bialgebra can be derived by uniformly solving the associative Yang-Baxter equation and the Novikov Ya...

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Bibliographic Details
Published in:Journal of geometry and physics 2025-03, Vol.209, p.105403, Article 105403
Main Authors: Li, Bei, Wang, Dingguo
Format: Article
Language:English
Subjects:
Novikov Poisson algebra
Novikov Poisson bialgebra
Pre-Novikov Poisson algebra
Yang-Baxter equation
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Summary:In this paper, we present the concept of Novikov Poisson bialgebra and establish the equivalence between matched pairs, Manin triples, and Novikov Poisson bialgebras. Specifically, a Novikov Poisson bialgebra can be derived by uniformly solving the associative Yang-Baxter equation and the Novikov Yang-Baxter equation. Furthermore, we introduce the concepts of O-operators on Novikov Poisson algebras and pre-Novikov Poisson algebras.
ISSN:0393-0440
DOI:10.1016/j.geomphys.2024.105403