BiHom-(pre-)Poisson conformal algebra
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 -operators and Rota-Baxter operators on BiHom-Poisson conformal algebra is provided.
Keywords
Cite
@article{arxiv.2308.10981,
title = {BiHom-(pre-)Poisson conformal algebra},
author = {Sania Asif and Yao Wang},
journal= {arXiv preprint arXiv:2308.10981},
year = {2023}
}