2017/07/31 by Julien Hauseux, Tobias Schmidt, Claus Sorensen
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Combinatorics #Commutative property #Commutative ring #Discrete mathematics #Field (mathematics) #Functor #Group theory #Induced representation #Irreducible representation #Mathematics #Pure mathematics #Reductive group #Representation (politics) #Residue field #math.NT #math.RT #msc:22E50
paper · pdf · doi:10.1016/j.jnt.2018.06.007
published as J. Number Theory 195 (2019) 312-329 · 14 pages, minor changes, final version
arxiv created 2018/07/11 · openalex publication_date 2018/07/18 · arxiv updated 2018/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Let G be the F-points of a connected reductive group over a non-archimedean local field F of residue characteristic p and R be a commutative ring. Let P=LU be a parabolic subgroup of G and Q be a parabolic subgroup of G containing P. We study the functor StQG taking a smooth R-representation σ of L which extends to a representation eG(σ) of G trivial on U to the smooth R-representation eG(σ)⊗RStQG(R) of G where StQG(R) is the generalised Steinberg representation.