Macdonald's Evaluation Conjectures, Difference Fourier Transform, and Applications
arXiv:q-alg/9503006 · doi:10.1007/s002220050079
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.
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References in corpus (4)
- Elliptic quantum many-body problem and double affine Knizhnik-Zamolodchikov equation
- Representation-theoretic proof of the inner product and symmetry identities for Macdonald's polynomials
- Representation-theoretic proof of the inner product and symmetry identities for MacDonald's polynomials
- Difference-elliptic operators and root systems
Cited by in corpus (8)
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- Macdonald deformation of Vogel's universality and link hyperpolynomials
- On Refined Vogel's universality
- Vogel's universality and Macdonald dimensions
- Branes and DAHA Representations