Model Transition for Representations of Metaplectic Type

2014/03/26 by Erez Lapid, Zhengyu Mao
Chemistry · Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic structures and combinatorial models #Chemistry #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Transition (genetics) #Type (biology) #math.NT #math.RT #msc:11F70

paper · pdf · doi:10.1093/imrn/rnu225

published as International Mathematics Research Notices 19 (2015) 9486-9568 · With Appendix C by Marko Tadic

arxiv created 2014/03/26 · openalex publication_date 2014/12/02 · arxiv updated 2017/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study the interplay between different models of the same irreducible representation of the <f>F</f>-points of a reductive group over a local field.

Citations

• Symplectic-Whittaker models for Gln
• Multiplicity one theorems
• (GL n +1 ( F ), GL n ( F )) is a Gelfand pair for any local field F
• A specialisation of the Bump-Friedberg L-function
• A Proof of Langlands' Conjecture on Plancherel Measures; Complementary Series of -adic groups
• On the local Bump-Friedberg L-function
• Periods and harmonic analysis on spherical varieties