The Prasad conjectures for \(\mathrm{GSp}_4\) and \(\mathrm{PGSp}_4\)

DOI10.2140/ant.2020.14.2417zbMath1471.22017arXiv1802.10336OpenAlexW3092730857MaRDI QIDQ2212126

Hengfei Lu

Publication date: 18 November 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.10336

zbMATH Keywords

Langlands correspondencetheta liftPrasad conjecturesee-saw diagramsquaternionic Hermitian groups

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)

The distinction problems for \(\operatorname{Sp}_4\) and \(\operatorname{SO}_{3,3}\)

Cites Work

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• A note on standard modules and Vogan \(L\)-packets
• Stabilization of the twisted trace formula. Vol. 1
• Stabilization of the twisted trace formula. Vol. 2
• The generic dual of \(p\)-adic split \(\mathrm{SO}_{2n}\) and local Langlands parameters
• The local Langlands conjecture for \(\text{GSp}(4)\)
• Howe correspondences on a \(p\)-adic field
• Fourier and Poisson transformation associated to a semisimple symmetric space
• Splitting metaplectic covers of dual reductive pairs
• Local theta correspondence of tempered representations and Langlands parameters
• On two questions concerning representations distinguished by the Galois involution
• The Howe duality conjecture: quaternionic case
• Degenerate principal series representations for quaternionic unitary groups
• On distinguished square-integrable representations for Galois pairs and a conjecture of Prasad
• Ramified degenerate principal series representations for \(Sp(n)\)
• Generalized one-point extensions
• The theta correspondence for similitudes
• The non-tempered \(\theta_{10}\) Arthur parameter and Gross-Prasad conjectures
• A new proof to the period problems of \(\mathrm{GL}(2)\)
• Formal degrees and local theta correspondence
• On certain multiplicity one theorems
• A proof of the Howe duality conjecture
• On the tempered $L$-functions conjecture
• Theta correspondences for 𝐺𝑆𝑝(4)
• On endoscopy and the refined Gross–Prasad conjecture for (SO₅, SO₄)
• Distinguished Generic Representations of GL(n) over p-adic Fields
• Genericity of Representations of p-Adic Sp_2n and Local Langlands Parameters
• On the Howe duality conjecture in classical theta correspondence
• Quaternionic Distinguished Representations
• La formule des traces locale tordue
• The local Langlands conjecture for GSp(4), II: The case of inner forms
• On distinguished representations.
• Analytic Continuation of Equivariant Distributions
• Conservation relations for local theta correspondence
• Invariant Forms for Representations of GL 2 Over a Local Field
• Global \(L\)-packets for GSp(2) and theta lifts

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