Double coset for groupoids
Category Theory
2026-05-06 v1
Abstract
We investigate the double cosets of a groupoid, focusing primarily on their enumeration, by means of two different approaches. The first approach extends the Cauchy-Frobenius lemma to groupoids and interprets it in terms of groupoid actions. The second approach is based on linear representations of a groupoid arising from its action on a set of functions.
Keywords
Cite
@article{arxiv.2605.03368,
title = {Double coset for groupoids},
author = {Keitaro Shiizuka},
journal= {arXiv preprint arXiv:2605.03368},
year = {2026}
}