Markov measures on Young tableaux and induced representations on the infinite symmetric group

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dc.creatorVershik, A. M.
dc.creatorTsilevich, N. V.
dc.date2005-12-16
dc.date.accessioned2026-07-07T06:55:24Z
dc.date.available2026-07-07T06:55:24Z
dc.descriptionWe show that the class of inductive limits of the representations of finite symmetric groups with simple spectrum coinsides with the class of Markov representations of the infinite symmetric group associated with Markov measures on the space of infinite Young tableaux. We also show that the representations of infinite symmetric group induced from identity representation of two-block Young subgroup are Markov representations and find explicit formulas for transition probabilities of corresponding Markov measure on the Young diagrmas. Induced two-row representations of finite symmetric group are studied using tensor model of those representations which alows easily to obtain the formulas for Gel'fand-Zetlin basis.
dc.description13 pages, Bibl 10
dc.identifierhttps://arxiv.org/abs/math/0512389
dc.identifierhttp://arxiv.org/abs/math/0512389
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106268
dc.subjectRepresentation Theory
dc.subjectProbability
dc.subject20C32, 05E05, 60J80
dc.titleMarkov measures on Young tableaux and induced representations on the infinite symmetric group
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