Low elements in dominant Shi regions
Combinatorics
2023-09-26 v1
Abstract
This note is a complement of a recent paper about low elements in affine Coxeter groups. We explain in terms of ad-nilpotent ideals of a Borel subalgebra why the minimal elements of dominant Shi regions are low. We also give a survey of the bijections involved in the study of dominant Shi regions in affine Weyl groups.
Cite
@article{arxiv.2309.13261,
title = {Low elements in dominant Shi regions},
author = {Nathan Chapelier-Laget},
journal= {arXiv preprint arXiv:2309.13261},
year = {2023}
}
Comments
8 pages