论文标题
单型阿贝尔信封
Monoidal abelian envelopes
论文作者
论文摘要
我们证明了非亚伯式单体类别的亚伯式信封的建设性存在。这为建造张量类别的新工具建立了一个新工具。例如，我们为DELIGNE猜想的几种通用张量类别的存在获得了新的证据。另一个示例通过SL（2）的倾斜模块构建了阳性特征中的张量类别。
We prove a constructive existence theorem for abelian envelopes of non-abelian monoidal categories. This establishes a new tool for the construction of tensor categories. As an example we obtain new proofs for the existence of several universal tensor categories as conjectured by Deligne. Another example constructs tensor categories in positive characteristic via tilting modules for SL(2).
