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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 240, Pages 115–135 (Mi znsl470)  
This article is cited in 24 scientific papers (total in 24 papers)

Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group

V. N. Ivanov

M. V. Lomonosov Moscow State University
Full-text PDF (261 kB) Citations (24)
Abstract: We study a factorial analogue of Schur P-functions. In terms of them we obtain an explicit formula for dimension of a skew shifted Young diagram. The main application of this formula is a new derivation of the Nazarov's classification of undecomposable projective characters of an infinite symmetric group.
Received: 04.11.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 5, Pages 3517–3530
DOI: https://doi.org/10.1007/BF02175830
Bibliographic databases:
UDC: 512.542.74+519.172
Language: Russian
Citation: V. N. Ivanov, “Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part II, Zap. Nauchn. Sem. POMI, 240, POMI, St. Petersburg, 1997, 115–135; J. Math. Sci. (New York), 96:5 (1999), 3517–3530
Citation in format AMSBIB
\Bibitem{Iva97}
\by V.~N.~Ivanov
\paper Dimensions of skew shifted Young diagrams and projective characters of the infinite symmetric group
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~II
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 240
\pages 115--135
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl470}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1691642}
\zmath{https://zbmath.org/?q=an:0960.20009}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 5
\pages 3517--3530
\crossref{https://doi.org/10.1007/BF02175830}
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  • https://www.mathnet.ru/eng/znsl/v240/p115
    • This publication is cited in the following 24 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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