The representation ring of the unitary groups and Markov processes of algebraic origin

DOI10.1016/j.aim.2016.03.027zbMath1359.22016arXiv1504.01646OpenAlexW2963958707MaRDI QIDQ304104

Grigori Olshanski

Publication date: 23 August 2016

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

Full work available at URL: https://arxiv.org/abs/1504.01646

zbMATH Keywords

representation ringinfinitesimal generatordual objectFeller processmultivariate orthogonal polynomialsbilateral birth-death processinfinite-dimensional unitary group

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Analysis on other specific Lie groups (43A80) Transition functions, generators and resolvents (60J35) Character groups and dual objects (43A40) Analysis on and representations of infinite-dimensional Lie groups (22E66)

Related Items (6)

Approximation of Markov dynamics on the dual object of the infinite-dimensional unitary group ⋮ On a gateway between the Laguerre process and dynamics on partitions ⋮ Spherical representations of \(C^\ast\)-flows. II: Representation system and quantum group setup ⋮ Multiplicative characters and Gaussian fluctuation limits ⋮ Markov dynamics on the dual object to the infinite-dimensional unitary group ⋮ Fourier transform on high-dimensional unitary groups with applications to random tilings

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