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

Fuente: arXiv
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Autori principali: Lu, Daowei, Wang, Dingguo
Natura: Preprint
Pubblicazione: 2022
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author Lu, Daowei
Wang, Dingguo
author_facet Lu, Daowei
Wang, Dingguo
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2212_14157
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Fundamental theorem of Poisson $(A,H)$-Hopf module for weak Hopf algebras
Lu, Daowei
Wang, Dingguo
Quantum Algebra
Rings and Algebras
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.
title Fundamental theorem of Poisson $(A,H)$-Hopf module for weak Hopf algebras
topic Quantum Algebra
Rings and Algebras
url https://arxiv.org/abs/2212.14157