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

^*Corresponding author for this work

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	59
Journal	Journal of Algebraic Combinatorics
Volume	62
Issue number	4
DOIs	https://doi.org/10.1007/s10801-025-01490-8
State	Published - Dec 2025

Keywords

Good word
Lyndon basis
Lyndon word
Split ıquantum group

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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.",

keywords = "Good word, Lyndon basis, Lyndon word, Split ıquantum group",

author = "Jian, \{Run Qiang\} and Li Luo and Xianfa Wu",

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2025.",

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doi = "10.1007/s10801-025-01490-8",

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AU - Jian, Run Qiang

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.

KW - Good word

KW - Lyndon basis

KW - Lyndon word

KW - Split ıquantum group

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

U2 - 10.1007/s10801-025-01490-8

DO - 10.1007/s10801-025-01490-8

M3 - 文章

AN - SCOPUS:105024228052

SN - 0925-9899

VL - 62

JO - Journal of Algebraic Combinatorics

JF - Journal of Algebraic Combinatorics

IS - 4

M1 - 59

ER -

Lyndon bases of split ıquantum groups

Abstract

Keywords

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