Extended Gelfand-Tsetlin graph, its \(q\)-boundary, and \(q\)-B-splines

DOI10.1007/s10688-016-0136-1zbMath1358.43009arXiv1607.04201OpenAlexW2963444863MaRDI QIDQ317273

Grigori Olshanski

Publication date: 30 September 2016

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.04201

zbMATH Keywords

\(B\)-splinesdual objectMarkov kernelsFeller property\(q\)-versionGelfand-Tsetlin graphinfinitesimal unitary groupZw-measures

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Continuous-time Markov processes on general state spaces (60J25) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Boundary theory for Markov processes (60J50) Character groups and dual objects (43A40) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items

Parameter symmetry in perturbed GUE corners process and reflected drifted Brownian motions ⋮ \(q\)-deformed character theory for infinite-dimensional symplectic and orthogonal groups ⋮ Asymptotic formulas for Macdonald polynomials and the boundary of the \((q,t)\)-Gelfand-Tsetlin graph ⋮ Macdonald polynomials and extended Gelfand-Tsetlin graph

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