标题： Verlinde范畴中的Harish-Chandra对和仿射代数群概形再考察 显示英文标题

标题： Harish-Chandra pairs and affine algebraic group schemes in the Verlinde category, revisited

摘要： 近日，Venkatesh 将作者在超对称背景下证明的仿射代数群与哈希-昌德拉对之间的范畴等价扩展到了正特征下的维尔林德范畴情况。但作者认为该证明在一些基本点上不完整。 修正这一点后，我们改进了结果。我们使用函子点和形式群概形，从哈希-昌德拉对构造仿射代数群概形的方法比现有文献中的已知方法更具概念性且更简单。在同一情况下，我们证明了交换霍普夫代数的张量积分解，而不必限定它们是否为有限类型，这是新的结果。 显示英文摘要

摘要： Recently, Venkatesh extended the category equivalence between affine algebraic groups and Harish-Chandra pairs, which was proved by the author in the supersymmetric context, to the situation of the Verlinde category in positive characteristic. But the proof is incomplete at some basic point, the author thinks. Amending that we refine the result. Our construction of an affine algebraic group scheme from a Harish-Chandra pair, which uses functor points and formal group schemes, is more conceptual and simpler than the known ones of the existing literature. In the same situation we prove tensor product decomposition of commutative Hopf algebras not necessarily of finite type, which is new.