Lyndon bases of split $\imath$quantum groups
Quantum Algebra
2025-11-18 v2 Representation Theory
Abstract
We introduce and study Lyndon bases of split quantum groups . A relationship between the Lyndon bases and PBW-type bases was provided. As an application, we establish the existence of canonical bases for the type A split quantum groups .
Cite
@article{arxiv.2502.20958,
title = {Lyndon bases of split $\imath$quantum groups},
author = {Run-Qiang Jian and Li Luo and Xianfa Wu},
journal= {arXiv preprint arXiv:2502.20958},
year = {2025}
}
Comments
27 pages; some typos are corrected and some statements are revised