A Kato–lusztig Formula for Nonsymmetric Macdonald Polynomials
نویسنده
چکیده
We prove a nonsymmetric analogue of a formula of Kato and Lusztig which describes the coefficients of the expansion of irreducible Weyl characters in terms of (degenerate) symmetric Macdonald polynomials as certain Kazhdan–Lusztig polynomials. We also establish precise polynomiality results for coefficients of symmetric and nonsymmetric Macdonald polynomials and a version of Demazure’s character formula for p–adic zonal spherical functions.
منابع مشابه
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