Inductive limits of compact quantum groups and their unitary representations

DOI10.1007/s11005-021-01468-0OpenAlexW3204065770MaRDI QIDQ2242426

Ryosuke Sato

Publication date: 9 November 2021

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.03988

zbMATH Keywords

spherical functionsquantum groupsspherical representationsoperator algebrasasymptotic representation theoryinfinite-dimensional quantum groups

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Ordinary representations and characters (20C15) Quantizations, deformations for selfadjoint operator algebras (46L65)

Related Items (5)

Characters of infinite-dimensional quantum classical groups: BCD cases ⋮ Spherical representations of \(C^\ast\)-flows. II: Representation system and quantum group setup ⋮ Multiplicative characters and Gaussian fluctuation limits ⋮ Traces on diagram algebras I: Free partition quantum groups, random lattice paths and random walks on trees ⋮ Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category

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