论文标题
用相对单体中心构建非偏膜模块化类别
Constructing non-semisimple modular categories with relative monoidal centers
论文作者
论文摘要
本文是对非犹太膜模块化类别的构建的贡献。我们确定何时非犹太膜模块化类别中的Müger中心化也是模块化的。结果，我们获得了相对单体中心给出（非偏simimple）模块化类别的条件，并且我们还表明示例包括小量子组的表示类别。我们进一步得出条件，在更通用的量子基团的表示下，对角类型的Nichols代数的编织的Drinfeld双打，给出（非毛囊）模块化类别。
This paper is a contribution to the construction of non-semisimple modular categories. We establish when Müger centralizers inside non-semisimple modular categories are also modular. As a consequence, we obtain conditions under which relative monoidal centers give (non-semisimple) modular categories, and we also show that examples include representation categories of small quantum groups. We further derive conditions under which representations of more general quantum groups, braided Drinfeld doubles of Nichols algebras of diagonal type, give (non-semisimple) modular categories.
