تقرير
Reconstructing algebra objects from NIM-reps in pointed, near-group and quantum group-like fusion categories
| العنوان: | Reconstructing algebra objects from NIM-reps in pointed, near-group and quantum group-like fusion categories |
|---|---|
| المؤلفون: | Hannah, Samuel, Camacho, Ana Ros, Young, with an appendix with Devi |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Representation Theory, 18M20, 18M15 |
| الوصف: | In this article we study the possible Morita equivalence classes of algebras in three families of fusion categories (pointed, near-group and $A \left( 1,l \right)_{\frac{1}{2}}$) by studying the Non-negative Integer Matrix representations (NIM-reps) of their underlying fusion ring, and compare these results with existing classification results of algebra objects. Also, in an appendix we include a test of the exponents conjecture for modular tensor categories of rank up to 4. Comment: Comments welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.13796 |
| رقم الأكسشن: | edsarx.2312.13796 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |