Geodesic
Explicit computations of low-lying eigenfunctions for the~quantum
Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 283-293

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In a previous paper, we studied the characters and Clebsch–Gordan series for the exceptional Lie algebra $E_7$ by relating them to the quantum trigonometric Calogero–Sutherland Hamiltonian with the coupling constant $\kappa=1$. We now extend that approach to the case of an arbitrary coupling constant.
Keywords: integrable system, Calogero–Sutherland model, exceptional Lie algebra, representation theory
Mots-clés : orthogonal polynomials. 
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     author = {J. Fern\'andez-N\'u\~nez and W. Garcia Fuertes and A. M. Perelomov},
     title = {Explicit computations of low-lying eigenfunctions for the~quantum},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a6/}
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J. Fernández-Núñez; W. Garcia Fuertes; A. M. Perelomov. Explicit computations of low-lying eigenfunctions for the~quantum. Teoretičeskaâ i matematičeskaâ fizika, Tome 154 (2008) no. 2, pp. 283-293. http://geodesic.mathdoc.fr/item/TMF_2008_154_2_a6/