Multiplicity one theorems

Avraham Aizenbud, Dmitry Gourevitch, Stephen Rallis, Gérard Schiffmann

Type: Article

Publication Date: 2010-08-09

Citations: 71

DOI: https://doi.org/10.4007/annals.2010.172.1413

Abstract

In the local, characteristic 0, non-Archimedean case, we consider distributions on GL.n C 1/ which are invariant under the adjoint action of GL.n/.We prove that such distributions are invariant by transposition.This implies multiplicity at most one for restrictions from GL.n C 1/ to GL.n/.Similar theorems are obtained for orthogonal or unitary groups.

Locations

arXiv (Cornell University) - View - PDF
Annals of Mathematics - View - PDF

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