Endoscopic lifting of simple supercuspidal representations of unramified \(\mathrm{U}_N\) to \(\mathrm{GL}_N\)

DOI10.4171/PRIMS/55-4-9zbMath1437.22008arXiv1603.08316MaRDI QIDQ2279519

Masao Oi

Publication date: 12 December 2019

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.08316

zbMATH Keywords

unitary grouplocal Langlands correspondencesimple supercuspidal representationsendoscopic lifting

Mathematics Subject Classification ID

Gauss and Kloosterman sums; generalizations (11L05) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Cites Work

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• Arithmetic invariants of discrete Langlands parameters
• Classification and base change for discrete series of \(p\)-adic unitary groups
• Explicit base change lifts of the supercuspidal representations of \(U(1,1)(F_0)\)
• Transfer factors for the classical groups: a formulary
• Depth-zero supercuspidal \(L\)-packets and their stability
• Harmonic analysis on reductive \(p\)-adic groups. Notes by G. van Dijk
• Depth-zero base change for unramified \(U(2,1)\)
• The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
• On the Iwahori-Weyl group
• On a pairing of Goldberg-Shahidi for even orthogonal groups
• Depth-zero base change for ramified $U(2,1)$
• Types, paquets et changement de base : l’exemple de U(2, 1)(F₀). I. Types simples maximaux et paquets singletons
• Characters of Non-Connected, Reductive p-Abic Groups
• Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
• Endoscopic lifting of simple supercuspidal representations of SO2n+1 TO GL2n
• PARITY OF THE LANGLANDS PARAMETERS OF CONJUGATE SELF-DUAL REPRESENTATIONS OF AND THE LOCAL JACQUET–LANGLANDS CORRESPONDENCE
• Endoscopic Classification of representations of Quasi-Split Unitary Groups
• Epipelagic representations and invariant theory
• The essentially tame local Langlands correspondence, II: totally ramified representations
• Numbers of solutions of equations in finite fields

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