Local descent to quasi-split even general spin groups

DOI10.1007/s00209-023-03227-4OpenAlexW4321457640MaRDI QIDQ2686291

Eyal Kaplan, Baiying Liu, Jing Feng Lau

Publication date: 27 February 2023

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-023-03227-4

zbMATH Keywords

local descent\({\mathrm{GSpin}}\) groupslocal Langlands functoriality

Mathematics Subject Classification ID

(p)-adic theory, local fields (11F85) Representations of Lie and linear algebraic groups over local fields (22E50) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)

Cites Work

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• Theta distinguished representations, inflation and the symmetric square \(L\)-function
• Multiplicativity of the gamma factors of Rankin-Selberg integrals for \(\mathrm{SO} _{2l} \times\mathrm{GL}_n\)
• On local descent for unitary groups
• The generic dual of \(p\)-adic split \(\mathrm{SO}_{2n}\) and local Langlands parameters
• Metaplectic tensor products for irreducible representations
• Metaplectic forms
• Uniqueness and disjointness of Klyachko models
• Symplectic supercuspidal representations of \(\text{GL}(2n)\) over \(p\)-adic fields
• The symmetric-square L-function attached to a cuspidal automorphic representation of \(GL_ 3\)
• Distinguished representations and modular forms of half-integral weight
• Twisted endoscopy and reducibility of induced representations for \(p\)- adic groups
• Symmetric square \(L\)-functions on \(GL(r)\)
• Weil's representation and the spectrum of the metaplectic group
• The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
• A corollary to Bernstein's theorem and Whittaker functionals on the metaplectic group
• The characterization of theta-distinguished representations of \(\mathrm{GL}(n)\)
• The unramified computation of Rankin-Selberg integrals for \(\mathrm{SO}_{2l}\times\mathrm{GL}_ n\)
• A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
• On the theory of Jacobi forms and Fourier-Jacobi coefficients of Eisenstein series
• On lifting from classical groups to \(\text{GL}_N\)
• Functoriality for the classical groups
• On explicit lifts of cusp forms from \(\text{GL}_m\) to classical groups
• Distinguished theta representations for certain covering groups
• The twisted symmetric square \(L\)-function of \(\mathrm{GL}(r)\)
• Generic transfer for general spin groups
• Lifting automorphic representations on the double covers of orthogonal groups
• Local symmetric square \(L\)-factors of representations of general linear groups
• Rationality and holomorphy of Langlands-Shahidi \(L\)-functions over function fields
• Metaplectic Tensor Products for Automorphic Representation of (r)
• Representations Distinguished by Pairs of Exceptional Representations and a Conjecture of Savin
• Self-dual representations of division algebras and Weil groups: A contrast
• The Langlands quotient theorem for finite central extensions of p-adic groups
• Whittaker-Fourier coefficients of cusp forms on $\widetilde{\rm Sp}_n$: reduction to a Local Statement
• Rankin-Selberg Convolutions
• Rankin-Selberg convolutions for 𝑆𝑂_{2𝑙+1}×𝐺𝐿_{𝑛}: local theory
• Model Transition for Representations of Metaplectic Type
• Introduction to Harmonic Analysis on Reductive P-adic Groups. (MN-23): Based on lectures by Harish-Chandra at The Institute for Advanced Study, 1971-73
• On Certain L-Functions
• A relation between automorphic representations of ${\rm GL}(2)$ and ${\rm GL}(3)$
• Induced representations of reductive ${\germ p}$-adic groups. I
• Block-compatible metaplectic cocycles
• On a correspondence between cuspidal representations of 𝐺𝐿_{2𝑛} and 𝑆𝑝̃_{2𝑛}
• The tensor product of exceptional representations on the general linear group
• ENDOSCOPIC REPRESENTATIONS OF $\widetilde{\mathrm{Sp}}_{2n}$
• LA FORMULE DE PLANCHEREL POUR LES GROUPES p-ADIQUES. DAPRS HARISH-CHANDRA
• Principal Series Representations of Metaplectic Groups Over Local Fields
• On the gcd of local Rankin–Selberg integrals for even orthogonal groups
• Modular forms on non-linear double covers of algebraic groups
• Paquets stables des s\'eries discr\`etes accessibles par endoscopie tordue; leur param\`etre de Langlands
• Correspondance de Langlands et Fonctions L des carres Exterieur et Symetrique
• The LS method for the classical groups in positive characteristic and the Riemann Hypothesis
• Generalized and degenerate Whittaker models
• Raising nilpotent orbits in wave-front sets
• Sur les sous-groupes arithmétiques des groupes semi-simples déployés
• Front d'onde des representations des groupes classiques p -adiques
• THE DOUBLE COVER OF ODD GENERAL SPIN GROUPS, SMALL REPRESENTATIONS, AND APPLICATIONS

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