Extensions of the endomorphism algebra of weak comodule algebras.

DOI10.1134/S0001434614090065zbMath1325.16031OpenAlexW1977686196MaRDI QIDQ2342376

Yanyan Li

Publication date: 11 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614090065

zbMATH Keywords

weak Hopf algebrasMorita contextsendomorphism algebrasweak Doi-Hopf modulesweak comodule algebrasweak \(H\)-Galois extensions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Smash products of general Hopf actions (16S40) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Cites Work

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• 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.
• The structure theorem for weak module coalgebras.
• 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
• On the structure of weak Hopf algebras
• \(H\)-module endomorphism rings
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Homological dimension of weak Hopf-Galois extensions.
• The Duality Theorem for Weak Hopf Algebra (Co) Actions
• Crossed Products for Weak Hopf Algebras
• Doi-hopf modules over weak hopf algebras

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