Orthogonal functions related to Lax pairs in Lie algebras
Wolter Groenevelt (TU Delft - Electrical Engineering, Mathematics and Computer Science)
Erik Koelink (Radboud Universiteit Nijmegen)
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Abstract
We study a Lax pair in a 2-parameter Lie algebra in various representations. The overlap coefficients of the eigenfunctions of L and the standard basis are given in terms of orthogonal polynomials and orthogonal functions. Eigenfunctions for the operator L for a Lax pair for sl(d+ 1 , C) is studied in certain representations.
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