On the crystal graph description of the stable Weyl group multiple Dirichlet series

被引：0

作者：

Cai, Yuanqing ^{[1
]}

机构：

[1] Kyoto Univ, Dept Math, Sakyo Ku, Kitashirakawa Oiwake Cho, Kyoto 6068502, Japan

来源：

JOURNAL OF NUMBER THEORY | 2020年 / 215卷

基金：

欧洲研究理事会; 欧盟地平线“2020”; 日本学术振兴会;

关键词：

Weyl group multiple Dirichlet series; BZL pattern; Crystal graph; Braidless weight; Minimal representative; EISENSTEIN SERIES; P-PARTS; COEFFICIENTS;

D O I：

10.1016/j.jnt.2020.01.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For a semisimple Lie algebra admitting a good enumeration, we prove a parametrization for the elements in its Weyl group. As an application, we give a coordinate-free comparison between the crystal graph description (when it is known) and the Lie-theoretic description of the Weyl group multiple Dirichlet series in the stable range. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：186 / 215

页数：30

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