Uniqueness of Fourier-Jacobi models: the Archimedean case

TL;DR

This paper establishes the uniqueness of Fourier-Jacobi models for various classical groups over archimedean local fields, contributing to the understanding of their representation theory.

Contribution

It proves the uniqueness of Fourier-Jacobi models for several groups in the archimedean setting, extending previous non-archimedean results.

Findings

Uniqueness of Fourier-Jacobi models for general linear groups

Uniqueness for unitary, symplectic, and metaplectic groups

Advances in representation theory over archimedean fields

Abstract

We prove uniqueness of Fourier-Jacobi models for general linear groups, unitary groups, symplectic groups and metaplectic groups, over an archimedean local field.