Affine Standard Lyndon Words: A-Type

被引：1

作者：

Avdieiev, Yehor ^{[1
]}

Tsymbaliuk, Alexander ^{[2
]}

机构：

[1] Univ Bonn, Dept Math, D-53113 Bonn, Germany

[2] Purdue Univ, Dept Math, W Lafayette, IN 47906 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2024年 / 2024卷 / 21期

关键词：

QUANTUM; BASES;

D O I：

10.1093/imrn/rnae197

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize an algorithm of Leclerc [ ] describing explicitly the bijection of Lalonde-Ram [ ] from finite to affine Lie algebras. In type $A_{n}<^>{(1)}$, we compute all affine standard Lyndon words for any order of the simple roots and establish some properties of the induced orders on the positive affine roots.

引用

收藏

页码：13488 / 13524

页数：37

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