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arxiv: 1301.1276 · v2 · pith:FQSBO7GCnew · submitted 2013-01-07 · 🧮 math.RT · hep-th· math-ph· math.CO· math.MP

Orthogonality of Macdonald polynomials with unitary parameters

classification 🧮 math.RT hep-thmath-phmath.COmath.MP
keywords macdonaldorthogonalityparameterspolynomialsadmissiblecirclecrystallographicdiscrete
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For any admissible pair of irreducible reduced crystallographic root systems, we present discrete orthogonality relations for a finite-dimensional system of Macdonald polynomials with parameters on the unit circle subject to a truncation relation.

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