Stable conjugacy and epipelagic \(L\)-packets for Brylinski-Deligne covers of \(\mathrm{Sp}(2n)\)

DOI10.1007/s00029-020-0537-0zbMath1478.22012arXiv1703.04365OpenAlexW3007981052MaRDI QIDQ2294069

Wen-Wei Li

Publication date: 6 February 2020

Published in: Selecta Mathematica. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.04365

zbMATH Keywords

L-packetstable conjugacyBrylinski-Deligne coveringepipelagic representation

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Representations of Lie and linear algebraic groups over local fields (22E50)

Related Items (1)

Theta lifts and distinction for regular supercuspidal representations

Uses Software

• MathOverflow

Cites Work

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• Local theta correspondences between epipelagic supercuspidal representations
• Metaplectic forms
• The Maslov index as a quadratic space
• Epipelagic \(L\)-packets and rectifying characters
• Metaplectic tori over local fields
• Algebraic \(K\)-theory and the norm residue homomorphism
• Stable trace formula: Elliptic singular terms
• Howe correspondences on a \(p\)-adic field
• On the definition of transfer factors
• Automorphic forms on covering groups of GL(2)
• Refined anisotropic \(K\)-types and supercuspidal representations
• Unrefined minimal \(K\)-types for \(p\)-adic groups
• Central extensions of simply connected algebraic groups and Galois cohomology
• Regular elements of finite reflection groups
• Central extensions of reductive groups by \(K_2\).
• Jacquet functors and unrefined minimal \(K\)-types
• Lifting of characters on orthogonal and metaplectic groups
• Depth-zero supercuspidal \(L\)-packets and their stability
• Sur certains groupes d'opérateurs unitaires
• Automorphic forms on GL (2)
• Construction of tame supercuspidal representations
• Galois-fixed points in the Bruhat-Tits building of a reductive group
• Covering groups and their integral models
• Transfert d’intégrales orbitales pour le groupe métaplectique
• Supercuspidal characters of reductive <i>p</i>-adic groups
• L’endoscopie tordue n’est pas si tordue
• Distinguished Tame Supercuspidal Representations
• L-Indistinguishability For SL (2)
• Néron Models
• Simple wild -packets
• Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence
• Local Theta Correspondences between Supercuspidal Representations
• Pseudo-reductive Groups
• A generalized Theta lifting, CAP representations, and Arthur parameters
• Regular supercuspidal representations
• Epipelagic representations and invariant theory
• Modeles de neron et monodromie
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés

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