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PreprintCC BY 4.0arXiv

Quandles with isomorphic representation categories

  • Mohamad Maassarani
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Abstract

We give two types of examples where two non isomorphic finite quandles have isomorphic enveloping groups. This implies that two non-isomorphic finite quandles can share isomorphic representation categories (as additive and tensor categories simultaneously).

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Cite

BibTeXRIS
BibTeX
@misc{maassarani2026quandles,
  title = {{Quandles with isomorphic representation categories}},
  author = {Mohamad Maassarani},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.17769},
  eprint = {2610.17769},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.17769},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Quandles with isomorphic representation categories
AU  - Mohamad Maassarani
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.17769
UR  - https://arxiv.org/abs/2610.17769
AB  - We give two types of examples where two non isomorphic finite quandles have isomorphic enveloping groups. This implies that two non-isomorphic finite quandles can share isomorphic representation categories (as additive and tensor categories simultaneously).
ER  -