Nonsymmetric Macdonald polynomials and Demazure characters
Quantum Algebra
2007-05-23 v2 Representation Theory
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.
Cite
@article{arxiv.math/0105061,
title = {Nonsymmetric Macdonald polynomials and Demazure characters},
author = {Bogdan Ion},
journal= {arXiv preprint arXiv:math/0105061},
year = {2007}
}
Comments
16 pages