Characters of infinite-dimensional quantum classical groups: BCD cases

DOI10.1142/S0219025722500011OpenAlexW3176689724MaRDI QIDQ5037868

Ryosuke Sato

Publication date: 4 March 2022

Published in: Infinite Dimensional Analysis, Quantum Probability and Related Topics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.12771

zbMATH Keywords

quantum groupsMarkov semigroupsoperator algebrasasymptotic representation theory

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Markov semigroups and applications to diffusion processes (47D07) Quantum groups (operator algebraic aspects) (46L67)

Related Items (1)

Normalized characters of symmetric groups and Boolean cumulants via Khovanov's Heisenberg category

Cites Work

• Markov processes on the path space of the Gelfand-Tsetlin graph and on its boundary
• The \(q\)-Gelfand-Tsetlin graph, Gibbs measures and \(q\)-Toeplitz matrices
• Matric bialgebras and quantum groups
• Représentations factorielles de type \(II_1\) de \(U(\infty)\)
• Quantum deformation of classical groups
• A von Neumann algebra framework for the duality of the quantum groups
• \(q\)-deformed character theory for infinite-dimensional symplectic and orthogonal groups
• Inductive limits of compact quantum groups and their unitary representations
• Quantized Vershik-Kerov theory and quantized central measures on branching graphs
• A characterization of right coideals of quotient type and its application to classification of Poisson boundaries
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