Descents of unipotent cuspidal representations of finite classical groups
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Publication:2663057
DOI10.1007/s00229-020-01211-4zbMath1493.20006arXiv1908.10860OpenAlexW3034509376MaRDI QIDQ2663057
Publication date: 15 April 2021
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.10860
classical groupsunipotent representationdescentstheta correspondencefinite reductive groupscuspidallocal Gan-Gross-Prasad conjecture
Representation theory for linear algebraic groups (20G05) Representations of Lie and linear algebraic groups over local fields (22E50) Representations of finite groups of Lie type (20C33)
Related Items (2)
Wavefront sets and descent method for finite unitary groups ⋮ On the Gan-Gross-Prasad problem for finite classical groups
Cites Work
- Unnamed Item
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- Multiplicity one theorems
- Howe correspondences on a \(p\)-adic 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
- 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
- La conjecture locale de Gross-Prasad pour les représentations tempérées des groupes unitaires
- Multiplicity one theorems for Fourier-Jacobi models
- Endoscopie et conjecture locale raffinée de Gan–Gross–Prasad pour les groupes unitaires
- Characters of Reductive Groups over a Finite Field. (AM-107)
- On the restriction of Deligne-Lusztig characters
- On the Decomposition of a Representation of SOn When Restricted to SOn-1
- Unipotent Representations and Reductive Dual Pairs over Finite Fields
- On Irreducible Representations of So2n+1 × So2m
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
- Restrictions of representations of classical groups: examples
- 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
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