تقرير
Tambara-Yamagami Categories over the Reals: The Non-Split Case
| العنوان: | Tambara-Yamagami Categories over the Reals: The Non-Split Case |
|---|---|
| المؤلفون: | Plavnik, Julia, Sanford, Sean, Sconce, Dalton |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Category Theory, 18M20 |
| الوصف: | Tambara and Yamagami investigated a simple set of fusion rules with only one non-invertible object, and proved under which circumstances those rules could be given a coherent associator. We consider a generalization of such fusion rules to the setting where simple objects are no longer required to be split simple. Over the real numbers, this means that objects are either real, complex, or quaternionic. In this context, we prove a similar categorification result to the one of Tambara and Yamagami. Comment: 44 pages; Corrected Theorem 7.1, added Example 7.5 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2303.17843 |
| رقم الأكسشن: | edsarx.2303.17843 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |