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arXiv · 0709.4215

Multiplicity one Theorems

Avraham Aizenbud·Dmitry Gourevitch·Steve Rallis·Gérard Schiffmann
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Abstract

In the local, characteristic 0, non archimedean case, we consider distributions on GL(n+1) which are invariant under the adjoint action of GL(n). We prove that such distributions are invariant by transposition. This implies that an admissible irreducible representation of GL(n+1), when restricted to GL(n) decomposes with multiplicity one. Similar Theorems are obtained for orthogonal or unitary groups.

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BibTeXRIS

Avraham Aizenbud, Dmitry Gourevitch, Steve Rallis, Gérard Schiffmann. 2007-09-26. Multiplicity one Theorems. https://arxiv.org/abs/0709.4215

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