The local Langlands conjecture for \(\mathrm{GSp}(4)\). III: Stability and twisted endoscopy
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Publication:462823
DOI10.1016/j.jnt.2013.07.009zbMath1366.11074OpenAlexW2012812640WikidataQ123115179 ScholiaQ123115179MaRDI QIDQ462823
Publication date: 22 October 2014
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jnt.2013.07.009
Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70)
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Cites Work
- The local Langlands conjecture for \(\text{GSp}(4)\)
- On local character relations
- The fundamental lemma for Lie algebras
- A note on \(L\)-packets
- Cuspidal geometry of p-adic groups
- On the definition of transfer factors
- Characters and Jacquet modules
- On elliptic tempered characters
- A regularized Siegel-Weil formula: The first term identity
- A stable trace formula. III: Proof of the main theorems
- Metaplectic correspondence
- The explicit duality correspondence of (\(\text{Sp}(p,q),\text{O}^{*}(2n)\))
- On geometric transfer in real twisted endoscopy
- Endoscopy for \(\mathrm{GSp}(4)\) and the cohomology of Siegel modular threefolds
- Theta correspondences for 𝐺𝑆𝑝(4)
- On endoscopy and the refined Gross–Prasad conjecture for (SO5, SO4)
- Sign Changes in Harmonic Analysis on Reductive Groups
- L’endoscopie tordue n’est pas si tordue
- Generalised form of a conjecture of Jacquet and a local consequence
- Tempered endoscopy for real groups III: Inversion of transfer and 𝐿-packet structure
- Artin $L$-functions and normalization of intertwining operators
- Automorphic Representation of Unitary Groups in Three Variables. (AM-123)
- Matching of orbital integrals on 𝐺𝐿(4) and 𝐺𝑆𝑝(2)
- La Formule des Traces Tordue d’après le Friday Morning Seminar
- The local Langlands conjecture for GSp(4), II: The case of inner forms
- Bessel models for GSp(4)
- Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$
- ENDOSCOPIE ET CHANGEMENT DE CARACTÉRISTIQUE
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