Algebraic quantum hypergroups

DOI10.1016/j.aim.2010.07.015zbMath1206.43004arXivmath/0606466OpenAlexW1974638504MaRDI QIDQ616877

Alfons Van Daele, Lydia Delvaux

Publication date: 12 January 2011

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0606466

zbMATH Keywords

hypergroupHopf algebramultiplieralgebraic quantum group

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) Harmonic analysis on hypergroups (43A62) Quantum groups (quantized function algebras) and their representations (20G42)

Related Items (8)

ALGEBRAIC QUANTUM HYPERGROUPS II: CONSTRUCTIONS AND EXAMPLES ⋮ Pontryagin duality for bornological quantum hypergroups ⋮ More examples of algebraic quantum hypergroups. ⋮ From Hopf algebras to topological quantum groups. A short history, various aspects and some problems ⋮ BICROSSPRODUCTS OF ALGEBRAIC QUANTUM GROUPS ⋮ Multiplier Hopf algebras imbedded in locally compact quantum groups. ⋮ Infinitely divisible states on finite quantum groups ⋮ On idempotent states on quantum groups

Cites Work

• Groups with compact open subgroups and multiplier Hopf \(^*\)-algebras
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• A Note on the Antipode for Algebraic Quantum Groups
• ALGEBRAIC QUANTUM HYPERGROUPS II: CONSTRUCTIONS AND EXAMPLES
• A simple definition for locally compact quantum groups
• Actions of multiplier hopf algebras
• Multiplier Hopf Algebras
• C*-Algebraic Quantum Groups Arising from Algebraic Quantum Groups
• Locally compact quantum groups in the von Neumann algebraic setting
• Locally compact quantum groups
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