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Local intertwining relation for metaplectic groups

Part of: Discontinuous groups and automorphic forms

Published online by Cambridge University Press:  01 October 2020

Hiroshi Ishimoto
Hiroshi Ishimoto*
Affiliation:
Kyoto University, Kyoto606-8502, Japanishimoto@math.kyoto-u.ac.jp
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Abstract

In an earlier paper of Wee Teck Gan and Gordan Savin, the local Langlands correspondence for metaplectic groups over a nonarchimedean local field of characteristic zero was established. In this paper, we formulate and prove a local intertwining relation for metaplectic groups assuming the local intertwining relation for non-quasi-split odd special orthogonal groups.

Keywords

metaplectic groupslocal intertwining relationlocal Langlands correspondencetheta correspondence

MSC classification

Primary: 11F27: Theta series; Weil representation; theta correspondences 11F85: $p$-adic theory, local fields
Type
Research Article
Information
Compositio Mathematica , Volume 156 , Issue 8 , August 2020 , pp. 1560 - 1594
Copyright
Copyright © The Author(s) 2020

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