Distinguished representations of GL(n,ℂ)

2012/12/27 by Alexander Kemarsky, Kemarsky, Alexander
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1212.6436

9 pages

arxiv created 2012/12/27 · openalex publication_date 2012/12/27 · arxiv updated 2013/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let V be a GL_n(ℝ)-distinguished, irreducible, admissible representation of GL_n(ℂ). We prove that any continuous linear functional on V, which is invariant under the action of the real mirabolic subgroup, is automatically GL_n(ℝ)-invariant.

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