Lyndon bases of split ıquantum groups

Run Qiang Jian; Li Luo; Xianfa Wu

doi:10.1007/s10801-025-01490-8

Lyndon bases of split ıquantum groups

Run Qiang Jian^*
, Li Luo
, Xianfa Wu

^*此作品的通讯作者

数学科学学院

Dongguan University of Technology
East China Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

We introduce and study Lyndon bases of the split ıquantum groups Uı(g). Especially, we provide the relation between Lyndon bases and Lusztig’s PBW-type bases of Uı(g), as well as a construction of canonical bases of Uı(g) under an integral condition.

源语言	英语
文章编号	59
期刊	Journal of Algebraic Combinatorics
卷	62
期	4
DOI	https://doi.org/10.1007/s10801-025-01490-8
出版状态	已出版 - 12月 2025

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10.1007/s10801-025-01490-8

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title = "Lyndon bases of split ıquantum groups",

abstract = "We introduce and study Lyndon bases of the split ıquantum groups Uı(g). Especially, we provide the relation between Lyndon bases and Lusztig{\textquoteright}s PBW-type bases of Uı(g), as well as a construction of canonical bases of Uı(g) under an integral condition.",

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AU - Luo, Li

AU - Wu, Xianfa

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.

PY - 2025/12

Y1 - 2025/12

N2 - We introduce and study Lyndon bases of the split ıquantum groups Uı(g). Especially, we provide the relation between Lyndon bases and Lusztig’s PBW-type bases of Uı(g), as well as a construction of canonical bases of Uı(g) under an integral condition.

AB - We introduce and study Lyndon bases of the split ıquantum groups Uı(g). Especially, we provide the relation between Lyndon bases and Lusztig’s PBW-type bases of Uı(g), as well as a construction of canonical bases of Uı(g) under an integral condition.

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KW - Lyndon basis

KW - Lyndon word

KW - Split ıquantum group

UR - https://www.scopus.com/pages/publications/105024228052

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DO - 10.1007/s10801-025-01490-8

M3 - 文章

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Lyndon bases of split ıquantum groups

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