XXVIII Workshop on Geometric Methods in Physics 28.06-04.07.2009

Agnieszka Tereszkiewicz

Orbit functions of SU(n) and Chebyshev Polynomials

We first recall three pairs of infinite families of special functions depending on n variables (n<\infty) and show that the functions of each pair coincide one-by-one. Then we show that a substitution of variable transforms the functions into n-dimensional Chebyshev polynomials.

This is joint work with Maryna Nesterenko (Institute of Mathematics, Kyiv, Ukraine) and Jiri Patera (Centre de Recherches Mathématiques, Université de Montréal, Canada).