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Nonsymmetric Macdonald polynomials and Demazure characters

Bogdan Ion
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Abstract

We establish a connection between a specialization of the nonsymmetric Macdonald polynomials and the Demazure characters of the corresponding affine Kac-Moody algebra. This allows us to obtain a representation-theoretical interpretation of the coefficients of the expansion of the specialized symmetric Macdonald polynomials in the basis formed by the irreducible characters of the associated finite Lie algebra.

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Bogdan Ion. 2001-11-20. Nonsymmetric Macdonald polynomials and Demazure characters. https://arxiv.org/abs/math/0105061

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