2015/01/23 by Christine Huyghe, Huyghe, Christine, Deepam Patel +5
Mathematics · #11E95 #14D10 #16S30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.1501.05837
openalex publication_date 2015/01/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let G be the group of L-rational points of a connected split reductive group over a finite extension L of Qp. We show that formal models of the algebraic flag variety X of G are D-affine for certain sheaves of arithmetic differential operators. We then introduce the category of coadmissible G-equivariant arithmetic D-modules on the system of formal models of X and prove that it is anti-equivalent to the category of admissible locally L-analytic G-representations with trivial infinitesimal character. We compute the equivariant arithmetic D-modules of certain classes of representations.