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Zapiski Nauchnykh Seminarov POMI, 2010, Volume 378, Pages 32–39 (Mi znsl3825)  
This article is cited in 1 scientific paper (total in 1 paper)

Polynomiality of irreducible characters of the symmetric groups

E. E. Goryachko

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (567 kB) Citations (1)
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Abstract: Consider Young diagrams differing only by the length of the first row (i.e., the form of diagrams below the first row is fixed). We prove that the values of the irreducible characters of the groups $\mathrm S_n$ corresponding to these diagrams are given by a polynomial of a special form with respect to natural parameters related to the cycle notation of permutations. Bibl. 3 titles.
Key words and phrases: irreducible characters of the symmetric groups, induced characters, Kostka numbers.
Received: 29.09.2010
English version:
Journal of Mathematical Sciences (New York), 2011, Volume 174, Issue 1, Pages 15–18
DOI: https://doi.org/10.1007/s10958-011-0275-0
Bibliographic databases:
Document Type: Article
UDC: 512.547+519.115
Language: Russian
Citation: E. E. Goryachko, “Polynomiality of irreducible characters of the symmetric groups”, Representation theory, dynamical systems, combinatorial methods. Part XVIII, Zap. Nauchn. Sem. POMI, 378, POMI, St. Petersburg, 2010, 32–39; J. Math. Sci. (N. Y.), 174:1 (2011), 15–18
Citation in format AMSBIB
\Bibitem{Gor10}
\by E.~E.~Goryachko
\paper Polynomiality of irreducible characters of the symmetric groups
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XVIII
\serial Zap. Nauchn. Sem. POMI
\yr 2010
\vol 378
\pages 32--39
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3825}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2011
\vol 174
\issue 1
\pages 15--18
\crossref{https://doi.org/10.1007/s10958-011-0275-0}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952814147}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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