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arXiv · 2212.14157

Fundamental theorem of Poisson $(A,H)$-Hopf module for weak Hopf algebras

Daowei Lu·Dingguo Wang
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Abstract

Let $H$ be a weak Hopf algebra with a bijective antipode and $A$ an $H$-comodule Poisson algebra. In this paper, we mainly generalize the fundamental theorem of Poisson Hopf modules to the case of weak Hopf algebras. Besides we will deduce the relative projectivity in the category of Poisson Hopf module.

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Daowei Lu, Dingguo Wang. 2022-12-29. Fundamental theorem of Poisson $(A,H)$-Hopf module for weak Hopf algebras. https://arxiv.org/abs/2212.14157

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