Chains of affine standard Lyndon words
Representation Theory
2026-05-15 v1 Combinatorics
Quantum Algebra
Abstract
In this note, we establish the periodicity of chains of affine standard Lyndon words in all types and determine tight bounds on that periodicity, greatly generalizing the -type results of arXiv:2305.16299. Our approach crucially utilizes the convexity and monotonicity of arXiv:2505.15432 together with the new idea to consider the polarization of the root system given by increasing and decreasing chains.
Cite
@article{arxiv.2605.15027,
title = {Chains of affine standard Lyndon words},
author = {Corbet Elkins and Alexander Tsymbaliuk},
journal= {arXiv preprint arXiv:2605.15027},
year = {2026}
}
Comments
v1: 58 pages, comments are welcome!