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arxiv: math/0202076 · v2 · submitted 2002-02-08 · 🧮 math.RT

Jack polynomials for the BC_n root system and generalized spherical functions

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keywords functionsgeneralizedjackrootsphericalsystemconstructionfamily
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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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