A note on standard modules and Vogan \(L\)-packets

DOI10.1007/S00229-016-0824-4zbMath1348.11042arXiv1504.04524OpenAlexW2963678275MaRDI QIDQ309289

Volker Heiermann

Publication date: 7 September 2016

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.04524

zbMATH Keywords

standard modules\(L\)-packets\(p\)-adic reductive groups

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Langlands-Weil conjectures, nonabelian class field theory (11S37)

Related Items (6)

On the local Langlands correspondence and Arthur conjecture for even orthogonal groups ⋮ The Prasad conjectures for \(\mathrm{GSp}_4\) and \(\mathrm{PGSp}_4\) ⋮ The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case ⋮ Jacquet modules and local Langlands correspondence ⋮ The Gross-Prasad conjecture and local theta correspondence ⋮ A theory of Miyawaki liftings: the Hilbert-Siegel case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Classification and base change for discrete series of \(p\)-adic unitary groups
• On the standard modules conjecture
• Special representations of reductive p-adic groups are not integrable
• Local Langlands correspondence for classical groups and affine Hecke algebras
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• On the tempered $L$-functions conjecture
• Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires
• Unipotent orbits and local L-functions
• Orbites unipotentes et pôles d'ordre maximal de la fonction μ de Harish-Chandra
• On Reducibility and Unitarizability for Classical p-Adic Groups, Some General Results
• LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
• Complementary Series for Hermitian Quaternionic Groups
• DCOMPOSITION SPECTRALE ET REPRSENTATIONS SPCIALES DUN GROUPE RDUCTIF $p$-ADIQUE
• La conjecture locale de Gross-Prasad pour les groupes sp\'eciaux orthogonaux: le cas g\'en\'eral
• The local Langlands conjecture for GSp(4), II: The case of inner forms
• Formal degrees and adjoint 𝛾-factors

This page was built for publication: A note on standard modules and Vogan \(L\)-packets