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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 307, Pages 99–119 (Mi znsl841)  
This article is cited in 28 scientific papers (total in 28 papers)

Interpolation analogues of Schur $Q$-functions

V. N. Ivanov

Independent University of Moscow
Full-text PDF (254 kB) Citations (28)
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Abstract: We introduce interpolation analogues of the Schur $Q$-functions – the multiparameter Schur $Q$-functions. We obtain for them several results: a combinatorial formula, generating functions for one-row and two-rows functions, vanishing and characterization properties, a Pieri-type formula, a Nimmo-type formula (a relation of two Pfaffians), a Giambelli–Schur-type Pfaffian formula, a determinantal formula for the transition coefficients between multiparameter Schur $Q$-functions with different parameters. We write an explicit Pfaffian expression for the dimension of a skew shifted Young diagram. This paper is a continuation of the author's paper math.CO/0303169 and is a partial projective analogue of the paper q-alg/9605042 by A. Okounkov and G. Olshanski, and of the paper math.CO/0110077 by G. Olshanski, A. Regev, and A. Vershik.
Received: 05.03.2004
English version:
Journal of Mathematical Sciences (New York), 2005, Volume 131, Issue 2, Pages 5495–5507
DOI: https://doi.org/10.1007/s10958-005-0422-6
Bibliographic databases:
UDC: 519.113.3+519.172.1+512.542.7
Language: English
Citation: V. N. Ivanov, “Interpolation analogues of Schur $Q$-functions”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part X, Zap. Nauchn. Sem. POMI, 307, POMI, St. Petersburg, 2004, 99–119; J. Math. Sci. (N. Y.), 131:2 (2005), 5495–5507
Citation in format AMSBIB
\Bibitem{Iva04}
\by V.~N.~Ivanov
\paper Interpolation analogues of Schur $Q$-functions
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~X
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 307
\pages 99--119
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl841}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2050689}
\zmath{https://zbmath.org/?q=an:1073.05069}
\elib{https://elibrary.ru/item.asp?id=9127649}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2005
\vol 131
\issue 2
\pages 5495--5507
\crossref{https://doi.org/10.1007/s10958-005-0422-6}
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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