Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials
Quantum Algebra
2007-05-23 v3 Representation Theory
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.
Cite
@article{arxiv.math/0406060,
title = {Standard bases for affine parabolic modules and nonsymmetric Macdonald polynomials},
author = {Bogdan Ion},
journal= {arXiv preprint arXiv:math/0406060},
year = {2007}
}
Comments
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