Hook-length formula and applications to alternating permutations
Combinatorics
2019-04-18 v1
Abstract
In this paper, we take interest in finding applications for a hook-length formula recently proved in (Morales Pak Panova 2016). This formula can be applied to give a non trivial relation between alternating permutations and weighted Dyck paths. First, we give an alternative proof for this result using continued fractions, and then we apply a similar reasoning to the more general case of -alternating permutations.
Keywords
Cite
@article{arxiv.1904.08374,
title = {Hook-length formula and applications to alternating permutations},
author = {Lucas Randazzo},
journal= {arXiv preprint arXiv:1904.08374},
year = {2019}
}