REPRESENTATION-THEORETIC INTERPRETATION OF CHEREDNIK-ORR'S RECURSION FORMULA FOR THE SPECIALIZATION OF NONSYMMETRIC MACDONALD POLYNOMIALS AT T = ∞

被引：3

作者：

Naito, Satoshi ^{[1
]}

Nomoto, Fumihiko ^{[1
]}

Sagaki, Daisuke ^{[2
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Meguro Ku, 2-12-1 Oh Okayama, Tokyo 1528551, Japan

[2] Univ Tsukuba, Inst Math, Tsukuba, Ibaraki 3058571, Japan

来源：

TRANSFORMATION GROUPS | 2019年 / 24卷 / 01期

关键词：

EXTREMAL WEIGHT MODULE; LEVEL-ZERO; PATH MODEL; OPERATORS;

D O I：

10.1007/s00031-017-9467-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a representation-theoretic (or rather, crystal-theoretic) proof of Cherednik-Orr's recursion formula of Demazure type for the specialization at t = of the nonsymmetric Macdonald polynomials E-w(q,t), wW, where is a dominant integral weight and W is a finite Weyl group.

引用

页码：155 / 191

页数：37