Orthogonality of characters of \(\text{GL}_n\) over a local field of non-zero characteristic

DOI10.1007/s002290050004zbMath0957.20027OpenAlexW2072408521MaRDI QIDQ1964703

Alexandru Ioan Badulescu

Publication date: 10 May 2000

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290050004

zbMATH Keywords

general linear groupscharacters\(p\)-adic groupsreductive groupsirreducible representationsorthogonalityorbital integralssquare integrable representationsJacquet-Langlands correspondence

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Linear algebraic groups over local fields and their integers (20G25)

Related Items (10)

On an inequality of Bushnell-Henniart for Rankin-Selberg conductors ⋮ Correspondance de Jacquet–Langlands pour les corps locaux de caractéristique non nulle ⋮ Character and formal degree for the interior forms of \(\mathrm{GL}(n)\) on a local field of nonzero characteristic ⋮ Nonabelian Lubin-Tate theory and elliptic representations ⋮ Deformation spaces of one-dimensional formal modules and their cohomology ⋮ Global Jacquet-Langlands correspondence, multiplicity one and classification of automorphic representations. With an appendix by Neven Grbac. ⋮ Uniformization of Laumon-Rapoport-Stuhler varieties and Drinfeld-Carayol conjecture. ⋮ An irreducibility result in non-zero characteristic ⋮ Counting the discrete series for GL(n) ⋮ The local Langlands correspondence for \(\mathrm{GL}_n\) over function fields

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