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Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials

Bogdan Ion
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Abstract

We establish a connection between (degenerate) nonsymmetric Macdonald polynomials and standard bases and dual standard bases of maximal parabolic modules of affine Hecke algebras. Along the way we prove a (weak) polynomiality result for coefficients of symmetric and nonsymmetric Macdonald polynomials.

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Bogdan Ion. 2006-10-05. Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials. https://arxiv.org/abs/math/0406060

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