A COMBINATORIAL FORMULA FOR NONSYMMETRIC MACDONALD POLYNOMIALS

被引：54

作者：

Haglund, J. ^{[1
]}

Haiman, M. ^{[2
]}

Loehr, N. ^{[3
]}

机构：

[1] Univ Penn, Dept Math, Philadelphia, PA 19104 USA

[2] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

[3] Coll William & Mary, Dept Math, Williamsburg, VA 23185 USA

来源：

AMERICAN JOURNAL OF MATHEMATICS | 2008年 / 130卷 / 02期

关键词：

D O I：

10.1353/ajm.2008.0015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a combinatorial formula for the nonsymmetric Macdonald polynomials E-mu (x;q,t) The formula generalizes Our previous combinatorial interpretation of the integral form symmetric Macdonald polynomials J(mu)(x;q,t). We prove the new formula by verifying that it satisfies a recurrence, due to Knop and Sahi, that characterizes the nonsymmetric Macdonald polynomials.

引用

页码：359 / 383

页数：25

共 25 条

[1]

[Anonymous], INT MATH RES NOT

[2] DOUBLE AFFINE HECKE ALGEBRAS AND MACDONALDS CONJECTURES [J].