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Algebraic Structures in Integrable Systems
December 3, 2012 14:00–14:50, Moscow, M.V. Lomonosov Moscow State University
 


Multivariable Lamé functions

G. Felder

Departement für Mathematik, Eidgenösische Technische Hochschule Zürich
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Abstract: Multivariable Lamé functions are symmetric meromorphic solutions of the elliptic Calogero-Sutherland N-particle Schrödinger equation with integer parameter. They are closely related to affine Jack polynomials at the critical level. In the case of two particles they reduce to Lame' polynomials. I will review this classical theory and discuss extensions of the results to the multiparticle case

Language: English
 
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