A Pair of Garside Shadows
Group Theory
2023-10-11 v1 Combinatorics
Abstract
We prove that the smallest elements of Shi parts and cone type parts exist and form Garside shadows. The latter resolves a conjecture of Parkinson and the second author as well as a conjecture of Hohlweg, Nadeau and Williams.
Cite
@article{arxiv.2310.06267,
title = {A Pair of Garside Shadows},
author = {Piotr Przytycki and Yeeka Yau},
journal= {arXiv preprint arXiv:2310.06267},
year = {2023}
}