Open Access
September 2018 Local Jacquet–Langlands correspondences for simple supercuspidal representations
Naoki Imai, Takahiro Tsushima
Kyoto J. Math. 58(3): 623-638 (September 2018). DOI: 10.1215/21562261-2017-0032

Abstract

We give a description of the local Jacquet–Langlands correspondence for simple supercuspidal representations via type theory. As a consequence, we show that the endoclasses for such representations are invariant under the local Jacquet–Langlands correspondence.

Citation

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Naoki Imai. Takahiro Tsushima. "Local Jacquet–Langlands correspondences for simple supercuspidal representations." Kyoto J. Math. 58 (3) 623 - 638, September 2018. https://doi.org/10.1215/21562261-2017-0032

Information

Received: 12 June 2015; Revised: 18 November 2016; Accepted: 30 November 2016; Published: September 2018
First available in Project Euclid: 19 June 2018

zbMATH: 06959094
MathSciNet: MR3843393
Digital Object Identifier: 10.1215/21562261-2017-0032

Subjects:
Primary: 11F70
Secondary: 11L05

Keywords: character , Gauss sum , Jacquet–Langlands correspondence , Kloosterman sum

Rights: Copyright © 2018 Kyoto University

Vol.58 • No. 3 • September 2018
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