BiHom-(pre-)Poisson conformal algebra

Sania Asif; Yao Wang

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arXiv · 2308.10981

BiHom-(pre-)Poisson conformal algebra

Sania Asif·Yao Wang

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Abstract

The aim of this study is to introduce the notion of BiHom-Poisson conformal algebra, BiHom-pre-Poisson conformal algebra, and their related structures. We show that we can construct many new BiHom-Poisson conformal algebras for a given BiHom-Poisson conformal algebra. Moreover, the tensor product of two BiHom-Poisson conformal algebras is also a BiHom-Poisson conformal algebra. We further describe the conformal bimodule and representation theory of BiHom-Poisson conformal algebra. In addition, we define BiHom-pre-Poisson conformal algebra as the combination of BiHom-preLie conformal algebra and BiHom-dendriform conformal algebra under some compatibility conditions. We also demonstrate that how to construct BiHom-Poisson conformal algebra from BiHom-pre-Poisson conformal algebra and provide the representation theory for BiHom-pre-Poisson conformal algebra. Finally, a detailed description of $\mathcal{O}$-operators and Rota-Baxter operators on BiHom-Poisson conformal algebra is provided.

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Sania Asif, Yao Wang. 2023-08-21. BiHom-(pre-)Poisson conformal algebra. https://arxiv.org/abs/2308.10981

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