论文标题
在奇数模块化张量类别上
On odd-dimensional modular tensor categories
论文作者
论文摘要
我们研究奇数模块化张量类别和低级的最大非自我双（MNSD）模块化张量类别。我们根据伴随子类别的等级和可逆对象组的顺序给出了模块化张量类别等级的下限。作为这些结果的应用，我们证明了MNSD模块化张量类别的等级13和15。此外，我们表明，MNSD张量类别的排名17、19、21和23是尖头或完美的。
We study odd-dimensional modular tensor categories and maximally non-self dual (MNSD) modular tensor categories of low rank. We give lower bounds for the ranks of modular tensor categories in terms of the rank of the adjoint subcategory and the order of the group of invertible objects. As an application of these results, we prove that MNSD modular tensor categories of ranks 13 and 15 are pointed. In addition, we show that MNSD tensor categories of ranks 17, 19, 21 and 23 are either pointed or perfect.
