2025/03/26 by Akira Masuoka, Masuoka, Akira · 1 citation
Mathematics · #14L15 #16T05 #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2503.20317
openalex publication_date 2025/03/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.