A partition formula from idempotents
Combinatorics
2023-08-22 v1 Representation Theory
Abstract
A formula which only involves a partition number and elementary functions is derived by applying Burnside's Lemma to the set of idempotent maps from a set to itself. One side involves a summation over a set closely related to the partition number, however. Some speculation is made as to how to eliminate this summation.
Keywords
Cite
@article{arxiv.2308.10177,
title = {A partition formula from idempotents},
author = {Charlotte Aten},
journal= {arXiv preprint arXiv:2308.10177},
year = {2023}
}