Demazure product and hopping in type D
Combinatorics
2024-12-06 v2
Abstract
The Demazure product, also called the 0-Hecke product, is an associative operation on Coxeter groups with interesting properties and applications. In (Li et al 2024) it was shown that the Demazure product of two permutations can be described purely combinatorially: using only their one-line notation and not relying on reduced words. In this paper, we extend this to type D Coxeter groups.
Cite
@article{arxiv.2411.18584,
title = {Demazure product and hopping in type D},
author = {Darren Han and Michelle Huang and Benjamin Keller and Suho Oh and Jerry Zhang},
journal= {arXiv preprint arXiv:2411.18584},
year = {2024}
}
Comments
15 pages, 2 figures