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：

欧盟地平线“2020”; 日本学术振兴会; 欧洲研究理事会;

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

共 28 条

[1]

[Anonymous], 2002, Grad. Stud. Math.

[2] WEYL GROUP MULTIPLE DIRICHLET SERIES OF TYPE C [J].

Beineke, Jennifer ;

Brubaker, Benjamin ;

Frechette, Sharon .

PACIFIC JOURNAL OF MATHEMATICS, 2011, 254 (01) :11-46

[3]

Borel A., 1972, Publications mathematiques de l'IHES, V41, P253

[4]

Bourbaki N., 2002, ELEMENTS MATH, DOI DOI 10.1007/978-3-540-89394-3

[5]

Brubaker B, 2008, PROG MATH, V258, P1

[6] On Kubota's Dirichlet series [J].

Brubaker, Ben ;

Bump, Daniel .

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2006, 598 :159-184

[7] Weyl group multiple Dirichlet series II: The stable case [J].

Brubaker, Ben ;

Bump, Daniel ;

Friedberg, Solomon .

INVENTIONES MATHEMATICAE, 2006, 165 (02) :325-355

[8] Schur Polynomials and The Yang-Baxter Equation [J].

Brubaker, Ben ;

Bump, Daniel ;

Friedberg, Solomon .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2011, 308 (02) :281-301

[9] Weyl group multiple Dirichlet series, Eisenstein series and crystal bases [J].

Brubaker, Ben ;

Bump, Daniel ;

Friedberg, Solomon .

ANNALS OF MATHEMATICS, 2011, 173 (02) :1081-1120

[10]

Brubaker Ben, 2011, ANN MATH STUDIES, V175

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