PreprintarXiv licencearXiv
Double coset for groupoids
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.
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BibTeX
@misc{shiizuka2026double,
title = {{Double coset for groupoids}},
author = {Keitaro Shiizuka},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2605.03368},
eprint = {2605.03368},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.03368},
}
RIS
TY - UNPB
TI - Double coset for groupoids
AU - Keitaro Shiizuka
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2605.03368
UR - https://arxiv.org/abs/2605.03368
AB - 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.
ER -