Compact quantum groups of face type

DOI10.2977/prims/1195162967zbMath0860.16025OpenAlexW2013587245MaRDI QIDQ1922293

Takahiro Hayashi

Publication date: 20 April 1997

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195162967

zbMATH Keywords

Hopf algebraslattice modelsalgebras of operatorscompact matrix pseudo groupsGalois quantum groupsHopf face algebras

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Exactly solvable models; Bethe ansatz (82B23) Pseudogroups and differentiable groupoids (58H05)

Related Items

Algebraic properties of face algebras ⋮ \(C^*\)-algebraic partial compact quantum groups ⋮ Universal quantum semigroupoids ⋮ A correspondence between homogeneous and Galois coactions of Hopf algebras ⋮ Galois quantum groups of \(II_1\)-subfactors ⋮ Tannaka-Krein duality for Hopf algebroids ⋮ Adler–Kostant–Symes scheme for face and Calogero–Moser–Sutherland-type models ⋮ Quantum groups and quantum semigroups ⋮ Coribbon Hopf (face) algebras generated by lattice models ⋮ Partial compact quantum groups

Cites Work

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• Matric bialgebras and quantum groups
• Compact matrix pseudogroups
• An algebra related to the fusion rules of Wess-Zumino-Witten models
• Quantum group symmetry of partition functions of IRF models and its application to Jones' index theory
• Characters of Hopf algebras
• Semisimple Cosemisimple Hopf Algebras
• DISCRETE QUANTUM GROUPS I: THE HAAR MEASURE

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