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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 172, Pages 3–20 (Mi znsl4477)  
This article is cited in 12 scientific papers (total in 13 papers)

Hooks formula and related identities

A. M. Vershik
Full-text PDF (780 kB) Citations (13)
Abstract: We give a new proof of the hook formula for dimensions of irreducible representations of the symmetric group based on a combinatorial identity which is interesting in its own. A probabilistic interpretation of the proof is given. New connections between the Young diagram parameters are discovered.
English version:
Journal of Soviet Mathematics, 1992, Volume 59, Issue 5, Pages 1029–1040
DOI: https://doi.org/10.1007/BF01480684
Bibliographic databases:
Document Type: Article
UDC: 519.117
Language: Russian
Citation: A. M. Vershik, “Hooks formula and related identities”, Differential geometry, Lie groups and mechanics. Part 10, Zap. Nauchn. Sem. LOMI, 172, "Nauka", Leningrad. Otdel., Leningrad, 1989, 3–20; J. Soviet Math., 59:5 (1992), 1029–1040
Citation in format AMSBIB
\Bibitem{Ver89}
\by A.~M.~Vershik
\paper Hooks formula and related identities
\inbook Differential geometry, Lie groups and mechanics. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 172
\pages 3--20
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4477}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015695}
\zmath{https://zbmath.org/?q=an:0780.05005|0689.05009}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 59
\issue 5
\pages 1029--1040
\crossref{https://doi.org/10.1007/BF01480684}
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  • https://www.mathnet.ru/eng/znsl/v172/p3
    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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