Macdonald's Evaluation Conjectures, Difference Fourier Transform, and Applications

Details Macdonald's Evaluation Conjectures, Difference Fourier Transform, and Applications Macdonald's Evaluation Conjectures, Difference Fourier Transform, and Applications

1995-03-14

arxiv.org/abs/q-alg/9503006v3

Mathematics

Quantum Algebra

AMSTeX

Scientific paper

10.1007/s002220050079

This paper contains the proof of Macdonald's duality and evaluation
conjectures, the definition of the difference Fourier transform, the recurrence
theorem generalizing Pieri rules, and the action of GL(2,Z) on the Macdonald
polynomials at roots of unity.

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