Markov Measures on Young Tableaux and Induced Representations of the Infinite Symmetric Group

DOI10.1137/S0040585X97982189zbMath1155.20013arXivmath/0512389MaRDI QIDQ3434986

Anatoly M. Vershik, Natalia V. Tsilevich

Publication date: 3 May 2007

Published in: Theory of Probability & Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512389

zbMATH Keywords

induced representationsinfinite symmetric groupMarkov measuresGelfand-Tsetlin basesinfinite Young tableauxsimple spectra of representations

Mathematics Subject Classification ID

Combinatorial aspects of representation theory (05E10) Induced representations for locally compact groups (22D30) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15) Representations of infinite symmetric groups (20C32)

Related Items (3)

Infinite-dimensional Schur-Weyl duality and the Coxeter-Laplace operator. ⋮ Ergodicity and totality of partitions associated with the RSK correspondence ⋮ On the decomposition of tensor representations of symmetric groups

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