Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials

Details Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials

2004-06-03

arxiv.org/abs/math/0406060v3

Mathematics

Quantum Algebra

v1: 28pg. v2: 38 pg., partially rewritten, new title (old title: A Kato-Lusztig formula for non-symmetric Macdonald polynomial

Scientific paper

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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