On the connection between macdonald polynomials and Demazure characters

被引：54

作者：

Sanderson, YB ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, New Brunswick, NJ 08901 USA

来源：

JOURNAL OF ALGEBRAIC COMBINATORICS | 2000年 / 11卷 / 03期

关键词：

affine Lie algebras; Macdonald polynomials; Demazure character;

D O I：

10.1023/A:1008786420650

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the specialization of nonsymmetric Macdonald polynomials at t = 0 are, up to multiplication by a simple factor, characters of Demazure modules for <(sl(n))over cap>. This connection furnishes Lie-theoretic proofs of the nonnegativity and monotonicity of Kostka polynomials.

引用

页码：269 / 275

页数：7

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