Abstract
In this paper, we prove that the depths of irreducible admissible representations are preserved by the local theta correspondence for any type I reductive dual pairs over a nonarchimedean local field.
Citation
Shu-Yen Pan. "Depth preservation in local theta correspondence." Duke Math. J. 113 (3) 531 - 592, 15 June 2002. https://doi.org/10.1215/S0012-7094-02-11334-9
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