Double coset for groupoids
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866909013583593472 |
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| author | Shiizuka, Keitaro |
| author_facet | Shiizuka, Keitaro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03368 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Double coset for groupoids Shiizuka, Keitaro Category Theory 18B40, 20L05 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. |
| title | Double coset for groupoids |
| topic | Category Theory 18B40, 20L05 |
| url | https://arxiv.org/abs/2605.03368 |