Frobenius extensions and weak Hopf algebras

DOI10.1006/jabr.2001.8911zbMath1018.16020arXivmath/0102010OpenAlexW2051066774MaRDI QIDQ5952291

Lars Kadison, Dmitri Nikshych

Publication date: 17 June 2003

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

Full work available at URL: https://arxiv.org/abs/math/0102010

zbMATH Keywords

weak Hopf algebrasconditional expectationsFrobenius extensionsbasic constructionsJones towerssymmetric Markov extensions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Quasi-Frobenius rings (16L60) Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) (16H05) Smash products of general Hopf actions (16S40)

Related Items

Semisimple weak Hopf algebras., Weak Hopf \(C^*\)-algebras and depth two subfactors, Depth two Hopf subalgebras of a semisimple Hopf algebra., On Strongly Groupoid Graded Rings and the Corresponding Clifford Theorem, Depth one extensions of semisimple algebras and Hopf subalgebras., Uniquely separable extensions, Bialgebroid actions on depth two extensions and duality., IRREDUCIBLE ACTIONS AND COMPRESSIBLE MODULES, Quantum groupoids acting on semiprime algebras., 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., Finite depth and Jacobson-Bourbaki correspondence., Connes' Pairings for a NewK-Theory over Weak Hopf Algebras, Weak tensor category and related generalized Hopf algebras., On the structure of weak Hopf algebras

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