Quantum association schemes
Abstract
We introduce quantum association schemes. This allows to define distance regular and strongly regular quantum graphs. We bring examples thereof. In addition, we formulate the duality for translation quantum association schemes corresponding to finite quantum groups.
- Publication:
-
arXiv e-prints
- Pub Date:
- April 2024
- DOI:
- 10.48550/arXiv.2404.06157
- arXiv:
- arXiv:2404.06157
- Bibcode:
- 2024arXiv240406157G
- Keywords:
-
- Mathematics - Quantum Algebra;
- Mathematics - Combinatorics;
- 05C25;
- 05E30;
- 16T30;
- 18M40;
- 20G42
- E-Print:
- 33 pages