Arithmetic branching law and generic \(L\)-packets
DOI10.1090/ert/672MaRDI QIDQ6631395
Dongwen Liu, Lei Zhang, Cheng Chen, Di-Hua Jiang
Publication date: 1 November 2024
Published in: Representation Theory (Search for Journal in Brave)
spectrumdiscrete seriesadmissible representationslocal descentlocal Gan-Gross-Prasad conjectureCasselman-Wallach representationsclassical groups over local fieldsgeneric \(L\)-packetsbranching decomposition
Galois cohomology (11S25) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Linear algebraic groups over local fields and their integers (20G25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Multiplicity one theorems
- The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case
- Symmetry breaking for representations of rank one orthogonal groups. II
- Local root numbers and spectrum of the local descents for orthogonal groups: \(p\)-adic case
- Smooth Fréchet globalizations of Harish-Chandra modules
- Arthur parameters and cuspidal automorphic modules of classical groups
- On the Gan-Gross-Prasad conjecture for \(U(p, q)\)
- Uniqueness of Fourier-Jacobi models: the Archimedean case
- Local theta lifting of generalized Whittaker models associated to nilpotent orbits
- The Gross-Prasad conjecture and local theta correspondence
- La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes unitaires
- Multiplicity one theorems for Fourier-Jacobi models
- Symmetry breaking for representations of rank one orthogonal groups
- On endoscopy and the refined Gross–Prasad conjecture for (SO5, SO4)
- Canonical Extensions of Harish-Chandra Modules to Representations of G
- Induced representations of reductive ${\germ p}$-adic groups. I
- LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
- On the local Langlands correspondence and Arthur conjecture for even orthogonal groups
- On the Uniqueness of Generic Representations in an $L$-Packet
- Representations of metaplectic groups I: epsilon dichotomy and local Langlands correspondence
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
- La conjecture locale de Gross-Prasad pour les repr\'esentations temp\'er\'ees des groupes sp\'eciaux orthogonaux
- La conjecture locale de Gross-Prasad pour les groupes sp\'eciaux orthogonaux: le cas g\'en\'eral
- Une formule intégrale reliée à la conjecture locale de Gross–Prasad
- AST418 - A local trace formula for the Gan-Gross-Prasad conjecture for unitary groups: the archimedean case
- Branching laws for classical groups: the non-tempered case
- Endoscopic Classification of representations of Quasi-Split Unitary Groups
- Bessel models for real unitary groups: the tempered case
This page was built for publication: Arithmetic branching law and generic \(L\)-packets