Standard Lyndon Loop Words: Weighted Orders

被引：0

作者：

Khomych, Severyn ^{[1
]}

Korniichuk, Nazar ^{[2
]}

Molokanov, Kostiantyn ^{[3
]}

Tsymbaliuk, Alexander ^{[4
]}

机构：

[1] Univ Vienna, Dept Math, Vienna, Austria

[2] MIT, Dept Math, Cambridge, MA USA

[3] Tech Univ Berlin, Dept Math, Berlin, Germany

[4] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2025年 / 2025卷 / 05期

关键词：

CONVEX ORDERINGS; QUANTUM; BASES; ALGEBRAS;

D O I：

10.1093/imrn/rnaf030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We generalize the study of standard Lyndon loop words from [16] to a more general class of orders on the underlying alphabet, as suggested in [16, Remark 3.15]. The main new ingredient is the exponent-tightness of these words, which also allows to generalize the construction of PBW bases of the untwisted quantum loop algebra $U_{q}(L{{\mathfrak{g}}})$ via the combinatorics of loop words.

引用

页数：32