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L-functoriality for local theta correspondence of supercuspidal representations with unipotent reduction
期刊文章

L-functoriality for local theta correspondence of supercuspidal representations with unipotent reduction

Shu-Yen Pan
Canadian Journal of Mathematics, 卷.69(1), 頁碼.186-219
02/2017

摘要

Langlands functoriality Local theta correspondence Preservation principle Supercuspidal representation Mathematics (all)
the preservation principle of local theta correspondences of reductive dual pairs over a p-Adic ûeld predicts the existence of a sequence of irreducible supercuspidal representations of classical groups. Adams andHarris-Kudla-Sweet have a conjecture about the Langlands parameters for the sequence of supercuspidal representations. In this paper we prove modiûed versions of their conjectures for the case of supercuspidal representations with unipotent reduction.

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