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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 223, Pages 219–226 (Mi znsl4388)  
This article is cited in 16 scientific papers (total in 16 papers)

Combinatorial and algorithmic methods

On the number of rim hook tableaux

S. V. Fomina, Nathan Lulovb

a Department of Mathematics, St. Petersburg Institute of Informatics
b Department of Mathematics, Harvard University
Full-text PDF (345 kB) Citations (16)
Abstract: A hooklength formula for the number of rim hook tableaux is used to obtain an inequality relating the number of rim hook tableaux of a given shape to the number of standard Young tableaux of the same shape. This provides an upper bound for a certain family of characters of the symmetric group. The analogues for shifted shapes and rooted trees are also given. Bibliography: 13 titles.
Received: 15.12.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 87, Issue 6, Pages 4118–4123
DOI: https://doi.org/10.1007/BF02355806
Bibliographic databases:
Document Type: Article
UDC: 519.117
Language: English
Citation: S. V. Fomin, Nathan Lulov, “On the number of rim hook tableaux”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part I, Zap. Nauchn. Sem. POMI, 223, POMI, St. Petersburg, 1995, 219–226; J. Math. Sci. (New York), 87:6 (1997), 4118–4123
Citation in format AMSBIB
\Bibitem{FomLul95}
\by S.~V.~Fomin, Nathan~Lulov
\paper On the number of rim hook tableaux
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~I
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 223
\pages 219--226
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4388}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1374321}
\zmath{https://zbmath.org/?q=an:0909.05046|0884.05095}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 87
\issue 6
\pages 4118--4123
\crossref{https://doi.org/10.1007/BF02355806}
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  • https://www.mathnet.ru/eng/znsl/v223/p219
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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