A bijection between strongly stable and totally symmetric partitions
Combinatorics
2023-04-21 v2
Abstract
Artinian monomial ideals in variables correspond to -dimensional partitions. We define -dimensional strongly stable partitions and show that they correspond to strongly stable ideals in variables. We show a bijection between strongly stable partitions and totally symmetric partitions which preserves the side length of the minimal bounding box.
Cite
@article{arxiv.2302.02505,
title = {A bijection between strongly stable and totally symmetric partitions},
author = {Seth Ireland},
journal= {arXiv preprint arXiv:2302.02505},
year = {2023}
}