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Funktsional'nyi Analiz i ego Prilozheniya, 2021, Volume 55, Issue 3, Pages 26–41
DOI: https://doi.org/10.4213/faa3917 (Mi faa3917) 		 
This article is cited in 1 scientific paper (total in 1 paper)

The Schur–Weyl graph and Thoma's theorem.

A. M. Vershikabc, N. V. Tsilevicha

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
b Saint Petersburg State University
c Institute for Information Transmission Problems of the Russian Academy of Sciences (Kharkevich Institute), Moscow
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DOI: https://doi.org/10.4213/faa3917
Abstract: We define a graded graph, called the Schur–Weyl graph, which arises naturally when one considers simultaneously the RSK algorithm and the classical duality between representations of the symmetric and general linear groups. As one of the first applications of this graph, we give a new proof of the completeness of the list of discrete indecomposable characters of the infinite symmetric group.
Keywords: Schur–Weyl graph, RSK algorithm, Thoma's theorem, central measures.
Funding agency Grant number
Russian Science Foundation 21-11-00152
Received: 17.06.2021
Revised: 17.06.2021
Accepted: 21.06.2021
English version:
Functional Analysis and Its Applications, 2021, Volume 55, Issue 3, Pages 198–209
DOI: https://doi.org/10.1134/S0016266321030023
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: A. M. Vershik, N. V. Tsilevich, “The Schur–Weyl graph and Thoma's theorem.”, Funktsional. Anal. i Prilozhen., 55:3 (2021), 26–41; Funct. Anal. Appl., 55:3 (2021), 198–209
Citation in format AMSBIB
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\paper The Schur--Weyl graph and Thoma's theorem.
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\pages 26--41
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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