On transposed Poisson conformal algebras

Lamei Yuan; Hao Fang

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arXiv · 2603.14735

On transposed Poisson conformal algebras

Lamei Yuan·Hao Fang

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Abstract

The aim of this paper is to introduce the notion of (noncommutative) transposed Poisson conformal algebras, which serve as the conformal analogues of transposed Poisson algebras and admit a rich class of identities. We show that the tensor product of two transposed Poisson conformal algebras is also a transposed Poisson conformal algebra. Moreover, we establish a close relationship between transposed Poisson conformal algebras and Hom-Lie conformal algebras, and give the compatibility conditions between a Poisson conformal algebra and a transposed Poisson conformal algebra. In addition, we provide several constructions of transposed Poisson conformal algebras arising from related algebraic structures. Finally, a complete classification of compatible noncommutative transposed Poisson conformal algebraic structures over a class of Lie conformal algebras W(a, b) is given.

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BibTeX RIS

Lamei Yuan, Hao Fang. 2026-03-16. On transposed Poisson conformal algebras. https://arxiv.org/abs/2603.14735

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