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

Published 29 Dec 2022 in math.QA and math.RA | (2212.14157v2)

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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