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arxiv: 0711.2884 · v1 · submitted 2007-11-19 · 🧮 math.RT

Uniqueness and disjointness of Klyachko models

classification 🧮 math.RT
keywords klyachkomodelsdisjointnesslocaluniquenessautomorphiccompletesdiscrete
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We show the uniqueness and disjointness of Klyachko models for GL(n,F) over a non-archimedean local field F. This completes, in particular, the study of Klyachko models on the unitary dual. Our local results imply a global rigidity property for the discrete automorphic spectrum.

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