One-element commutation classes
Combinatorics
2023-05-19 v2
Abstract
For any permutation w, we characterize the reduced words of w that are their own commutation class. When w is the long element n(n-1)...321 and n \ge 4, there are exactly four such words.
Cite
@article{arxiv.2212.02480,
title = {One-element commutation classes},
author = {Bridget Eileen Tenner},
journal= {arXiv preprint arXiv:2212.02480},
year = {2023}
}
Comments
Final version, to appear in Journal of Combinatorics