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Funktsional'nyi Analiz i ego Prilozheniya, 2011, Volume 45, Issue 1, Pages 16–30
DOI: https://doi.org/10.4213/faa3023 (Mi faa3023) 		 
This article is cited in 9 scientific papers (total in 10 papers)

Description of the Characters and Factor Representations of the Infinite Symmetric Inverse Semigroup

A. M. Vershik, P. P. Nikitin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (251 kB) Citations (10)
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DOI: https://doi.org/10.4213/faa3023
Abstract: A complete list of indecomposable characters of the infinite symmetric semigroup is given. In comparison with a similar list for the infinite symmetric group, only one new parameter appears, which has a clear combinatorial meaning. The results rely on the representation theory of finite symmetric semigroups and the representation theory of the infinite symmetric group.
Keywords: symmetric semigroup, character, factor representation, infinite symmetric group.
Received: 11.10.2010
English version:
Functional Analysis and Its Applications, 2011, Volume 45, Issue 1, Pages 13–24
DOI: https://doi.org/10.1007/s10688-011-0002-0
Bibliographic databases:
Document Type: Article
UDC: 519.17+519.21
Language: Russian
Citation: A. M. Vershik, P. P. Nikitin, “Description of the Characters and Factor Representations of the Infinite Symmetric Inverse Semigroup”, Funktsional. Anal. i Prilozhen., 45:1 (2011), 16–30; Funct. Anal. Appl., 45:1 (2011), 13–24
Citation in format AMSBIB
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    • This publication is cited in the following 10 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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