Local intertwining relation for metaplectic groups

2019/03/31 by Hiroshi Ishimoto
Mathematics · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Field (mathematics) #Geometry #Linguistics #Local field #Mathematics #Pure mathematics #Relation (database) #Zero (linguistics) #math.NT

paper · pdf · doi:10.1112/s0010437x20007253

published as Compositio Math. 156 (2020) 1560-1594 · 31 pages. I would like to thank my supervisor A. Ichino for many advices

arxiv created 2019/12/28 · openalex publication_date 2020/08/01 · arxiv updated 2020/10/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

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.

Citations

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• Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
• On Certain L-Functions
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