ALTERNATING SIGN MATRICES AND VERMA MODULES

被引：1

作者：

Ko, Hankyung ^{[1
]}

机构：

[1] Uppsala Univ, Dept Math, Box 480, SE-75106 Uppsala, Sweden

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 03期

关键词：

D O I：

10.1090/proc/16151

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the poset of alternating sign matrices, with Bruhat order, is isomorphic to the poset of certain submodules of the dominant Verma module for the special linear Lie algebra sln. The latter poset consists of the intersections of Verma submodules and can also be defined in terms of a Kazhdan-Lusztig cell.

引用

页码：949 / 959

页数：11

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