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arXiv · 2510.17222

Rota-Baxter type $H$-operators on pseudoalgebras

Botong Gai·Shuanhong Wang
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Abstract

Let $H$ be a Hopf algebra. In this paper, we study a class of $H$-operators on $H$-pseudoalgebras, which resemble the Rota-Baxter $H$-operator, and they are called Rota-Baxter type $H$-operators. We firstly present some basic properties and examples. Then by using Rota-Baxter type $H$-operators, we construct a number of associative (resp. Lie, NS-) $H$-pseudoalgebras. Meanwhile, Rota-Baxter type $H$-operators on $H$-pseudoalgebras of rank one are studies respectively. Finally, we consider the annihilation algebras and $H$-conformal algebras induced by $H$-pseudoalgebras and corresponding Rota-Baxter type operators are discussed.

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Botong Gai, Shuanhong Wang. 2025-10-20. Rota-Baxter type $H$-operators on pseudoalgebras. https://arxiv.org/abs/2510.17222

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