Maschke-type theorem and Morita context over weak Hopf algebras.

DOI10.1007/S11425-006-0587-6zbMath1121.16036OpenAlexW2105016748MaRDI QIDQ862706

Liang-yun Zhang

Publication date: 24 January 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-006-0587-6

zbMATH Keywords

weak Hopf algebrasMorita contextsantipodesMaschke theoremsemisimple smash productsleft integrals

Mathematics Subject Classification ID

Related Items (13)

Maschke-Type Theorem, Duality Theorem, and the Global Dimension for Weak Crossed Products ⋮ Homological dimension of weak Hopf-Galois extensions. ⋮ Maschke's theorem for smash products of quasitriangular weak Hopf algebras. ⋮ The structure theorem for weak module coalgebras. ⋮ The fundamental theorem on weak relative \([C,H\)-Hopf modules.] ⋮ The Structure Theorems of Weak Hopf Algebras ⋮ The structure theorem and duality theorem for endomorphism algebras of weak Hopf algebras. ⋮ The structure theorem of endomorphism algebras for weak Doi-Hopf modules. ⋮ Homomorphisms, separable extensions, and Morita maps for weak module algebras. ⋮ A duality theorem for weak L-R smash products. ⋮ The Structure Theorem of Weak Comodule Algebras ⋮ Centers of braided tensor categories ⋮ Extensions of the endomorphism algebra of weak comodule algebras.

Cites Work

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• Twisted products and smash products over weak Hopf algebras.
• Hopf algebra actions
• 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
• Rings of quotients and Morita contexts
• 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

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