Geodesic
Bethe ansatz and combinatorics of Young tableaux
Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VIII, Tome 155 (1986), pp. 65-115

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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. 
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     author = {A. N. Kirillov and N. Yu. Reshetikhin},
     title = {Bethe ansatz and combinatorics of {Young} tableaux},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {65--115},
     publisher = {mathdoc},
     volume = {155},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_155_a4/}
}
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A. N. Kirillov; N. Yu. Reshetikhin. Bethe ansatz and combinatorics of Young tableaux. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part VIII, Tome 155 (1986), pp. 65-115. http://geodesic.mathdoc.fr/item/ZNSL_1986_155_a4/