English

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

q-alg 2009-10-28 v3 Quantum Algebra

Abstract

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.

Keywords

Cite

@article{arxiv.q-alg/9503006,
  title  = {Macdonald's Evaluation Conjectures, Difference Fourier Transform, and Applications},
  author = {Ivan Cherednik},
  journal= {arXiv preprint arXiv:q-alg/9503006},
  year   = {2009}
}

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