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Zapiski Nauchnykh Seminarov POMI, 2003, Volume 301, Pages 212–218 (Mi znsl954)  
This article is cited in 5 scientific papers (total in 5 papers)

A realization of the irreducible representations of $S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms

P. P. Nikitin

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (170 kB) Citations (5)
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Abstract: The article gives a simple realization of the representations of $S_n$ corresponding to 2-row diagrams and an explicit description of the corresponding branching rule. The representations form a subgraph of the Young graph, and they are realized in square-free symmetric multilinear forms.
Received: 21.09.2003
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 129, Issue 2, Pages 3796–3799
DOI: https://doi.org/10.1007/s10958-005-0314-9
Bibliographic databases:
UDC: 512.547.212+512.542.7
Language: Russian
Citation: P. P. Nikitin, “A realization of the irreducible representations of $S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part IX, Zap. Nauchn. Sem. POMI, 301, POMI, St. Petersburg, 2003, 212–218; J. Math. Sci. (N. Y.), 129:2 (2005), 3796–3799
Citation in format AMSBIB
\Bibitem{Nik03}
\by P.~P.~Nikitin
\paper A~realization of the irreducible representations of~$S_n$ corresponding to 2-row diagrams in square-free symmetric multilinear forms
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~IX
\serial Zap. Nauchn. Sem. POMI
\yr 2003
\vol 301
\pages 212--218
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl954}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2032056}
\zmath{https://zbmath.org/?q=an:1144.20301}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 129
\issue 2
\pages 3796--3799
\crossref{https://doi.org/10.1007/s10958-005-0314-9}
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  • https://www.mathnet.ru/eng/znsl/v301/p212
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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