Difference Equations and Pieri Formulas for G2 Type Macdonald Polynomials and Integrability

被引：4

作者：

Felipe van Diejen, Jan ^{[1
]}

Ito, Masahiko ^{[2
]}

机构：

[1] Univ Talca, Inst Matemat & Fis, Casilla 747, Talca, Chile

[2] Aoyama Gakuin Univ, Dept Math & Phys, Sagamihara, Kanagawa 2298558, Japan

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2008年 / 86卷 / 2-3期

关键词：

Macdonald polynomials; Rui[!text type='js']js[!/text]enaars-Schneider type systems; explicit Pieri formulas; explicit integrals; exceptional root systems;

D O I：

10.1007/s11005-008-0275-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We present a second explicit difference equation and-by duality symmetry-a second explicit Pieri formula for the Macdonald polynomials associated with the exceptional root system of type G(2), complementing the celebrated difference equation and Pieri formula due to Macdonald. As by-product, we find a complete set of integrals for the corresponding trigonometric Ruijsenaars-Schneider type particle system.

引用

页码：229 / 248

页数：20

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[1] Difference Equations and Pieri Formulas for G2 Type Macdonald Polynomials and Integrability
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Masahiko Ito
[J]. Letters in Mathematical Physics, 2008, 86 : 229 - 248
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