Nonsymmetric Macdonald polynomials and Demazure characters
量子代数
2007-05-23 v2 表示论
摘要
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.
引用
@article{arxiv.math/0105061,
title = {Nonsymmetric Macdonald polynomials and Demazure characters},
author = {Bogdan Ion},
journal= {arXiv preprint arXiv:math/0105061},
year = {2007}
}
备注
16 pages