A Maschke type theorem for weak Hopf algebras.

DOI10.1007/s10114-008-6047-1zbMath1179.16015OpenAlexW2025159417MaRDI QIDQ960639

J. N. Alonso Álvarez, J. M. Fernández Vilaboa, Ana Belen Rodríguez Raposo, Ramón González Rodríguez

Publication date: 5 January 2009

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-008-6047-1

zbMATH Keywords

monoidal categoriesweak Hopf algebrascomodule algebrasHopf modulestotal integralsMaschke theorem

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Hopf algebras and their applications (16T05) Coalgebras and comodules; corings (16T15)

Related Items

Maschke Type Theorems for Nonassociative Hopf Algebras

Cites Work

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• Hopf extensions of algebras and Maschke type theorems
• Relative Hopf modules - equivalences and freeness criteria
• Weak Hopf algebras with projection and weak smash bialgebra structures.
• Crossed products for weak Hopf algebras with coalgebra splitting.
• Weak Hopf algebras. I: Integral theory and \(C^*\)-structure
• Cleft cqmodule algebras and hopf modules
• On the structure of relative hopf modules
• Doi-hopf modules over weak hopf algebras
• Weak Hopf algebras. II: Representation theory, dimensions, and the Markov trace