The structure theorem and duality theorem for endomorphism algebras of weak Hopf algebras.

DOI10.1016/j.jpaa.2010.07.015zbMath1255.16037OpenAlexW2000927130MaRDI QIDQ531319

Yong Wang, Liang-yun Zhang

Publication date: 29 April 2011

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2010.07.015

zbMATH Keywords

weak Hopf algebrasduality theoremsendomorphism algebrasbig smash productsweak Hopf modules

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05)

Related Items (3)

Total integrals for weak Doi-Koppinen data. ⋮ Morita equivalence for weak Hopf–Galois extensions ⋮ Extensions of the endomorphism algebra of weak comodule algebras.

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The structure theorem of endomorphism algebras for weak Doi-Hopf modules.
• Biinvertible actions of Hopf algebras
• Twisted products and smash products over weak Hopf algebras.
• Maschke-type theorem and Morita context over weak Hopf algebras.
• Duality for finite Hopf algebras explained by corings.
• Smash products and comodules of linear maps
• Groups of algebras over \(A\otimes \bar A\)
• Morphisms of relative Hopf modules, smash products, and duality
• Quantum group symmetry of partition functions of IRF models and its application to Jones' index theory
• Duality for generalized Kac algebras and a characterization of finite groupoid algebras
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• A coassociative \(C^*\)-quantum group with nonintegral dimensions
• Hopf Algebroids
• Cleft cqmodule algebras and hopf modules
• The Structure Theorem of Weak Comodule Algebras
• Extending modules for hopf galois extensions
• On the Cohomology of Relative Hopf Modules
• Frobenius extensions and weak Hopf algebras

This page was built for publication: The structure theorem and duality theorem for endomorphism algebras of weak Hopf algebras.