تقرير
Modular Categories of Dimension $p^3m$ with $m$ Square-Free
| العنوان: | Modular Categories of Dimension $p^3m$ with $m$ Square-Free |
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| المؤلفون: | Bruillard, Paul, Plavnik, Julia Yael, Rowell, Eric C. |
| سنة النشر: | 2016 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, 18D10 |
| الوصف: | We give a complete classification of modular categories of dimension $p^3m$ where $p$ is prime and $m$ is a square-free integer. When $p$ is odd, all such categories are pointed. For $p=2$ one encounters modular categories with the same fusion ring as orthogonal quantum groups at certain roots of unity, namely $SO(2m)_2$. As an immediate step we classify a more general class of so-called even metaplectic modular categories with the same fusion rules as $SO(2N)_2$ with $N$ odd. Comment: Version 2: typos corrected Version 3: several proofs tightened up, typos corrected and improvement of exposition |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1609.04896 |
| رقم الأكسشن: | edsarx.1609.04896 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |