The Structure Theorem of Weak Comodule Algebras

DOI10.1080/00927870902865894zbMath1185.16036OpenAlexW2003584546MaRDI QIDQ3406595

Liang-yun Zhang

Publication date: 19 February 2010

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

Full work available at URL: https://doi.org/10.1080/00927870902865894

zbMATH Keywords

weak Hopf algebrasweak smash productsweak comodule algebrasweak Hopf bimodules

Mathematics Subject Classification ID

Smash products of general Hopf actions (16S40) Coalgebras and comodules; corings (16T15)

Related Items (7)

Rota-Baxter paired modules and their constructions from Hopf algebras ⋮ Rota-Baxter Leibniz algebras and their constructions ⋮ Morita equivalence for weak Hopf–Galois extensions ⋮ THE STRUCTURE THEOREM OF HOM-HOPF BIMODULES AND ITS APPLICATIONS ⋮ The structure theorem and duality theorem for endomorphism algebras of weak Hopf algebras. ⋮ Homomorphisms, separable extensions, and Morita maps for weak module algebras. ⋮ Structure Theorems for Bicomodule Algebras Over Quasi-Hopf Algebras, Weak Hopf Algebras, and Braided Hopf Algebras

Cites Work

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• Maschke-type theorem and Morita context over weak Hopf algebras.
• 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
• Doi-hopf modules over weak hopf algebras

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