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arXiv · 2605.03368

Double coset for groupoids

Keitaro Shiizuka
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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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Keitaro Shiizuka. 2026-05-05. Double coset for groupoids. https://arxiv.org/abs/2605.03368

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