Uniqueness and disjointness of Klyachko models
Omer Offen, Eitan Sayag
TL;DR
This paper proves the uniqueness and disjointness of Klyachko models for GL(n,F), leading to a better understanding of their structure and implications for automorphic spectrum rigidity.
Contribution
It establishes the first comprehensive proof of the uniqueness and disjointness of Klyachko models for GL(n,F).
Findings
Proves the uniqueness of Klyachko models for GL(n,F).
Shows disjointness of different Klyachko models.
Derives a global rigidity property for automorphic spectrum.
Abstract
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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Taxonomy
TopicsAdvanced Algebra and Geometry