Globalization of Distinguished Supercuspidal Representations of GL( n )
Jeffrey Hakim, Fiona Murnaghan
Source record
Source: Crossref
Published: Jun 1, 2002
DOI: 10.4153/cmb-2002-025-x
Open original source ↗Source abstract
Abstract An irreducible supercuspidal representation π of G = GL( n , F ), where F is a nonarchimedean local field of characteristic zero, is said to be “distinguished” by a subgroup H of G and a quasicharacter χ of H if Hom H (π, χ) ≠ 0. There is a suitable global analogue of this notion for an irreducible, automorphic, cuspidal representation associated to GL( n ). Under certain general hypotheses, it is shown in this paper that every distinguished, irreducible, supercuspidal representation may be realized as a local component of a distinguished, irreducible automorphic, cuspidal representation. Applications to the theory of distinguished supercuspidal representations are provided.
Evidence graph
No public relationships recorded yet.
Integrity note: This page is a factual metadata record created by deterministic ingestion. It is not a claim that the work moves a mathematical frontier or has been independently verified.