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Zapiski Nauchnykh Seminarov LOMI, 1986, Volume 155, Pages 65–115 (Mi znsl5161)  

This article is cited in 92 scientific papers (total in 92 papers)

Bethe ansatz and combinatorics of Young tableaux

A. N. Kirillov, N. Yu. Reshetikhin
Abstract: This is a second paper in the series which aims at the study of combinatorial aspects of the quantum inverse scattering method. A bijective correspondence is set between the standard tableaux and the rigged confiegurations, the latter being a novel class of combinatorial objects introduced in the course of our studies of Bethe's equations. This bisection yields a simple Bethe's equations. This bisection yields a simple combinatorial representation for Kostki's polynomials and allows to compute some important functionals defined on the set of standard tableaux.
English version:
Journal of Soviet Mathematics, 1988, Volume 41, Issue 2, Pages 925–955
DOI: https://doi.org/10.1007/BF01247088
Bibliographic databases:
Document Type: Article
UDC: 536.7+519.12
Language: Russian
Citation: A. N. Kirillov, N. Yu. Reshetikhin, “Bethe ansatz and combinatorics of Young tableaux”, Differential geometry, Lie groups and mechanics. Part VIII, Zap. Nauchn. Sem. LOMI, 155, "Nauka", Leningrad. Otdel., Leningrad, 1986, 65–115; J. Soviet Math., 41:2 (1988), 925–955
Citation in format AMSBIB
\Bibitem{KirRes86}
\by A.~N.~Kirillov, N.~Yu.~Reshetikhin
\paper Bethe ansatz and combinatorics of Young tableaux
\inbook Differential geometry, Lie groups and mechanics. Part~VIII
\serial Zap. Nauchn. Sem. LOMI
\yr 1986
\vol 155
\pages 65--115
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl5161}
\zmath{https://zbmath.org/?q=an:0617.20025}
\transl
\jour J. Soviet Math.
\yr 1988
\vol 41
\issue 2
\pages 925--955
\crossref{https://doi.org/10.1007/BF01247088}
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  • https://www.mathnet.ru/eng/znsl/v155/p65
  • This publication is cited in the following 92 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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