Quantum double constructions for compact quantum group

DOI10.1007/s10114-013-2293-yzbMath1287.46056OpenAlexW1979905276MaRDI QIDQ383646

Ming Liu, Xia Zhang

Publication date: 5 December 2013

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

Full work available at URL: https://doi.org/10.1007/s10114-013-2293-y

zbMATH Keywords

quantum doublepairingcompact quantum groupHaar state

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) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89) Quantizations, deformations for selfadjoint operator algebras (46L65)

Cites Work

• Physics for algebraists: Non-commutative and non-cocommutative Hopf algebras by a bicrossproduct construction
• Compact matrix pseudogroups
• On a generalization of the Hopf fibration. I
• An invitation to quantum groups and duality. From Hopf algebras to multiplicative unitaries and beyond
• Pairing and quantum double of finite Hopf \(C^*\)-algebras
• DOUBLE CROSSED PRODUCTS OF LOCALLY COMPACT QUANTUM GROUPS
• The duality theory of a finite dimensional discrete quantum group
• The Haar Measure on a Compact Quantum Group
• Pairing and quantum double of multiplier Hopf algebras
• A pairing theorem between a braided bialgebra and its dual bialgebra
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