تقرير
Support varieties for finite tensor categories: Complexity, realization, and connectedness
| العنوان: | Support varieties for finite tensor categories: Complexity, realization, and connectedness |
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| المؤلفون: | Bergh, Petter Andreas, Plavnik, Julia Yael, Witherspoon, Sarah |
| سنة النشر: | 2019 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Quantum Algebra, Mathematics - Representation Theory |
| الوصف: | We advance support variety theory for finite tensor categories. First we show that the dimension of the support variety of an object equals the rate of growth of a minimal projective resolution as measured by the Frobenius-Perron dimension. Then we show that every conical subvariety of the support variety of the unit object may be realized as the support variety of an object. Finally, we show that the support variety of an indecomposable object is connected. Comment: 22 pages, added algebraically closed hypothesis |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1905.07031 |
| رقم الأكسشن: | edsarx.1905.07031 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |