1990/12/01 by Michael J. Heumos, Stephen Rallis · 69 citations
Mathematics · Engineering · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Geoscience and Mining Technology #Mathematics #Symplectic geometry #Algebra over a field #Pure mathematics
paper · pdf · doi:10.2140/pjm.1990.146.247
published in Pacific Journal of Mathematics 146(2), 247-279 (Mathematical Sciences Publishers)
openalex publication_date 1990/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the Klyachko models of admissible irreducible representations of the group GL n (F) where F is a non-Archimedean local field of characteristic 0. These are models which generalize the usual Whittaker model by allowing the inducing subgroup a symplectic component. We prove the uniqueness of the symplectic models and the disjointness for unitary representations of the different models. Moreover, for n < 4 we prove that all unitary irreducible representations admit a Klyachko model.