Combinatorial formula for Macdonald polynomials and generic Macdonald polynomials

被引：5

作者：

Okounkov, A ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

TRANSFORMATION GROUPS | 2003年 / 8卷 / 03期

关键词：

D O I：

10.1007/s00031-003-0306-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a direct proof of the combinatorial formula for interpolation Macdonald polynomials by introducing certain polynomials, which we call generic Macdonald polynomials, and which depend on d additional parameters and specialize to all Macdonald polynomials of degree d. The form of these generic polynomials is that of a Bethe eigenfunction and they imitate, on a more elementary level, the R-matrix construction of quantum immanants.

引用

页码：293 / 305

页数：13

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