| Résume | Let F be a nonarchimedean local field and GL(n):=GL(n,F). A complex representation $\pi$ of GL(n) is said to be GL(n-1)-distinguished if there exists a GL(n-1)-invariant linear form on $\pi.$ We classify those irreducible admissible representations of GL(n),n>2 which are GL(n-1)-distinguished. Moreover, if $\pi$ is a principal series induced from an irreducible representation of a Levi of a parabolic subgroup of GL(n), we show that the multiplicity of the space of GL(n-1)-invariant forms on $\pi$ is bounded by 2. |
