Fundamental theorem of Poisson Hopf module for weak Hopf 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.

Saved in:
Bibliographic Details
Published in:Journal of geometry and physics 2024-06, Vol.200, p.105177, Article 105177
Main Authors: Lu, Daowei, Wang, Dingguo
Format: Article
Language:English
Subjects:
Poisson algebra
Poisson Hopf module
Poisson module
Weak Hopf algebra
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2024.105177