The Structure Theorems of Weak Hopf Algebras

DOI10.1080/00927870902849591zbMath1197.16038OpenAlexW2116728155MaRDI QIDQ3562329

Liang-yun Zhang

Publication date: 21 May 2010

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927870902849591

zbMATH Keywords

weak Hopf algebrasstructure theoremsendomorphism algebrasweak Hopf modulesweak Galois extensions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items (4)

Total integrals for weak Doi-Koppinen data. ⋮ Rota-Baxter paired modules and their constructions from Hopf algebras ⋮ Maschke's theorem for smash products of quasitriangular weak Hopf algebras. ⋮ Morita equivalence for weak Hopf–Galois extensions

Cites Work

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• Maschke-type theorem and Morita context over weak Hopf algebras.
• The fundamental theorem on weak relative \([C,H\)-Hopf modules.]
• 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
• Multiplication Modules in Which Every Prime Submodule is Contained in a Unique Maximal Submodule
• On the structure of relative hopf modules
• Doi-hopf modules over weak hopf algebras
• Frobenius extensions and weak Hopf algebras

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