Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials
Abstract
Description
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.
v1: 28pg. v2: 38 pg., partially rewritten, new title (old title: A Kato-Lusztig formula for non-symmetric Macdonald polynomials), a few results added, some unsubstantiated expectations removed
v1: 28pg. v2: 38 pg., partially rewritten, new title (old title: A Kato-Lusztig formula for non-symmetric Macdonald polynomials), a few results added, some unsubstantiated expectations removed