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.

中文翻译：

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构造具有相对单曲面中心的非半简单模块化类别

本文是对非半简单模块化类别的构建的贡献。我们确定非半简单模块化类别中的 Müger 扶正器何时也是模块化的。因此，我们获得了相对单曲面中心给出（非半简单）模类别的条件，并且我们还表明示例包括小量子群的表示类别。我们进一步推导出更一般的量子群的表示，对角类型的 Nichols 代数的编织 Drinfeld 双倍，给出（非半简单）模类别的条件。