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Zapiski Nauchnykh Seminarov LOMI, 1986, Volume 155, Pages 65–115
(Mi znsl5161)
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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.
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
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https://www.mathnet.ru/eng/znsl5161 https://www.mathnet.ru/eng/znsl/v155/p65
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Abstract page: | 581 | Full-text PDF : | 314 |
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