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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 283, Pages 123–139 (Mi znsl1526)  
This article is cited in 3 scientific papers (total in 3 papers)

Cauchy identities for universal Schubert polynomials

A. N. Kirillov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (229 kB) Citations (3)
Abstract: We prove the Cauchy type identities for the universal double Schubert polynomials, introduced recently by W. Fulton. As a corollary, the determinantal formula for some specializations of the universal double Schubert polynomials corresponding to the Grassmannian permutations are obtained. We also introduce and study the universal Schur functions and multiparameter deformation of Schubert polynomials.
Received: 28.03.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 121, Issue 3, Pages 2360–2370
DOI: https://doi.org/10.1023/B:JOTH.0000024617.88286.f2
Bibliographic databases:
UDC: 512.5
Language: English
Citation: A. N. Kirillov, “Cauchy identities for universal Schubert polynomials”, Representation theory, dynamical systems, combinatorial and algoritmic methods. Part VI, Zap. Nauchn. Sem. POMI, 283, POMI, St. Petersburg, 2001, 123–139; J. Math. Sci. (N. Y.), 121:3 (2004), 2360–2370
Citation in format AMSBIB
\Bibitem{Kir01}
\by A.~N.~Kirillov
\paper Cauchy identities for universal Schubert polynomials
\inbook Representation theory, dynamical systems, combinatorial and algoritmic methods. Part~VI
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 283
\pages 123--139
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1526}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1879066}
\zmath{https://zbmath.org/?q=an:1063.05134}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 121
\issue 3
\pages 2360--2370
\crossref{https://doi.org/10.1023/B:JOTH.0000024617.88286.f2}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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