(Shifted) Macdonald polynomials: q-Integral representation and combinatorial formula

被引：46

作者：

Okounkov, A ^{[1
]}

机构：

[1] Univ Chicago, Dept Math, Chicago, IL 60637 USA

来源：

COMPOSITIO MATHEMATICA | 1998年 / 112卷 / 02期

关键词：

Macdonald polynomials; shifted Macdonald polynomials; combinatorial formula; q-integral representation;

D O I：

10.1023/A:1000436921311

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend some results about shifted Schur functions to the general context of shifted Macdonald polynomials. We strengthen some theorems of F. Knop and S. Sahi and give two explicit formulas for these polynomials: a q-integral representation and a combinatorial formula. Our main tool is a q-integral representation for ordinary Macdonald polynomial. We also discuss duality for shifted Macdonald polynomials and Jack degeneration of these polynomials.

引用

页码：147 / 182

页数：36

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