We propose a conjectural extension in the positive characteristic case of well known Deligne’s theorem on the existence of super fiber functors. We prove our conjecture in the special case of semisimple categories with finitely many isomorphism classes of simple objects.

中文翻译：

---

具有正特征的对称融合类别

在超纤维函子存在的众所周知的德利根定理的正特征情况下，我们提出了一个猜想扩展。我们在有限数量的简单对象同构类的半简单类别的特殊情况下证明了我们的猜想。