On the Gan-Gross-Prasad problem for finite classical groups

DOI10.1016/j.aim.2021.108095OpenAlexW3213772599MaRDI QIDQ2054260

Zhi-Cheng Wang

Publication date: 1 December 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.06938

zbMATH Keywords

finite groups of Lie typeunipotent representationsGan-Gross-Prasad problem

Mathematics Subject Classification ID

Representations of Lie and linear algebraic groups over local fields (22E50) Representations of finite groups of Lie type (20C33)

Related Items

On the upper bound of the multiplicities of Fourier-Jacobi models over finite fields, Wavefront sets and descent method for finite unitary groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Remarks on the theta correspondence over finite fields
• Representations of finite Chevalley groups. A survey
• Unipotent characters of the symplectic and odd orthogonal groups over a finite field
• Representations of reductive groups over finite fields
• Weil representations associated to finite fields
• Irreducible representations of finite classical groups
• Weil representations of finite classical groups
• Local theta correspondence of depth zero representations and theta dichotomy.
• The local theta correspondence and the local Gan-Gross-Prasad conjecture for the symplectic-metaplectic case
• Howe correspondence for reductive groups over finite fields
• Local root numbers and spectrum of the local descents for orthogonal groups: \(p\)-adic case
• Arthur parameters and cuspidal automorphic modules of classical groups
• The Gross-Prasad conjecture and local theta correspondence
• Descents of unipotent cuspidal representations of finite classical groups
• On the Gan-Gross-Prasad problem for finite unitary groups
• La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes unitaires
• Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires
• On the restriction of Deligne-Lusztig characters
• Unipotent Characters of the Even Orthogonal Groups over a Finite Field
• On the Decomposition of a Representation of SO_n When Restricted to SO_n-1
• Unipotent Representations and Reductive Dual Pairs over Finite Fields
• On Irreducible Representations of So_2n+1 × So_2m
• Une conjecture de Lusztig pour les groupes classiques
• 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
• Descents of unipotent representations of finite unitary groups