Orthogonal Polynomials of Compact Simple Lie Groups

Maryna Nesterenko, Jiří Patera and Agnieszka Tereszkiewicz

International Journal of Mathematics and Mathematical Sciences, 2011, vol. 2011, 1-23

Abstract:

Recursive algebraic construction of two infinite families of polynomials in variables is proposed as a uniform method applicable to every semisimple Lie group of rank . Its result recognizes Chebyshev polynomials of the first and second kind as the special case of the simple group of type . The obtained not Laurent-type polynomials are equivalent to the partial cases of the Macdonald symmetric polynomials. Recurrence relations are shown for the Lie groups of types , , , , , , and together with lowest polynomials.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:969424

DOI: 10.1155/2011/969424

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