Harish-Chandra Pairs in the Verlinde Category in Positive Characteristic

Abstract

Abstract In this article, we develop the theory of commutative and cocommutative Hopf algerbas in the Verlinde category and prove that the category of affine group schemes of finite type in the Verlinde category is equivalent to the category of Harish-Chandra pairs in the Verlinde category. Subsequently, we extend this equivalence to an equivalence between corresponding representation categories.