On the Langlands parameter of a simple supercuspidal representation: odd orthogonal groups

zbMath1425.22013arXiv1501.07500MaRDI QIDQ4972469

Moshe Adrian

Publication date: 25 November 2019

Full work available at URL: https://arxiv.org/abs/1501.07500

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Analysis on (p)-adic Lie groups (22E35) Representations of Lie and linear algebraic groups over local fields (22E50) Langlands-Weil conjectures, nonabelian class field theory (11S37) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Related Items (3)

On the Langlands parameter of a simple supercuspidal representation: even orthogonal groups ⋮ On input and Langlands parameters for epipelagic representations ⋮ The Langlands parameter of a simple supercuspidal representation: symplectic groups

Cites Work

• Complementary results on the Rankin-Selberg gamma factors of classical groups
• Simple supercuspidal representations of \(\mathrm{GL}(n)\)
• Arithmetic invariants of discrete Langlands parameters
• Epipelagic \(L\)-packets and rectifying characters
• Explicit constructions of automorphic \(L\)-functions
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• Functoriality for the classical groups
• Depth-zero supercuspidal \(L\)-packets and their stability
• Langlands parameters for epipelagic representations of \(\mathrm{GL}_n\)
• Rankin-Selberg Convolutions
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• Local transfer and reducibility of induced representations of 𝑝-adic groups of classical type
• Supercuspidal L-packets of positive depth and twisted Coxeter elements
• The essentially tame local Langlands correspondence, III: the general case
• Fourier Transforms of Intertwining Operators and Plancherel Measures for GL(n)
• $L$-functions for symplectic groups
• 𝐿 functions for the orthogonal group
• L-Functions for SOn x GLk.
• On the correspondence of representations between 𝐺𝐿(𝑛) and division algebras
• Simple wild -packets
• Paquets stables des s\'eries discr\`etes accessibles par endoscopie tordue; leur param\`etre de Langlands
• Epipelagic representations and invariant theory
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