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Jack polynomials for the $BC_n$ root system and generalized spherical functions

Alexei Oblomkov
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Abstract

We give a construction for three parameter family of Jack polynolials for the root system $BC_n$ through the generalized spherical functions on the symmetric space $GL(m+n)/GL(m)\times GL(n)$.

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Alexei Oblomkov. 2002-12-30. Jack polynomials for the $BC_n$ root system and generalized spherical functions. https://arxiv.org/abs/math/0202076

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