Local Shalika models and functoriality
From MaRDI portal
Publication:958179
DOI10.1007/s00229-008-0200-0zbMath1167.11021OpenAlexW2062383869MaRDI QIDQ958179
Yujun Qin, Chufeng Nien, Di-Hua Jiang
Publication date: 2 December 2008
Published in: Manuscripta Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00229-008-0200-0
(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)
Related Items (16)
Periods and nonvanishing of central \(L\)-values for \(\mathrm{GL}(2n)\) ⋮ Generalized Shalika models of \(p\)-adic SO\(_{4n}\) and functoriality ⋮ The local exterior square \(L\)-function: holomorphy, non-vanishing and Shalika functionals ⋮ Dichotomy for generic supercuspidal representations ofG2 ⋮ A local trace formula for the generalized Shalika model ⋮ Symplectic supercuspidal representations and related problems ⋮ Uniqueness of Bessel models: the archimedean case ⋮ Local uniqueness of generalized Shalika models for \(\mathrm{SO}_{4n}\) ⋮ Linear and Shalika local periods for the mirabolic group, and some consequences ⋮ Relative discrete series representations for two quotients of $p$-adic $\mathbf{GL}_n$ ⋮ On linear periods ⋮ On the residue method for period integrals ⋮ Linear periods and distinguished local parameters ⋮ On some relatively cuspidal representations: cases of Galois and inner involutions on \(\mathrm{GL}_n\) ⋮ Shalika periods on 𝐺𝑈(2,2) ⋮ Linear periods for unitary representations
Cites Work
- Lifting of generic depth zero representations of classical groups
- Explicit constructions of automorphic \(L\)-functions
- Modèles de Whittaker dégénéres pour des groupes p-adiques. (Degenerate Whittaker models of p-adic groups)
- A uniqueness theorem for representations of GSO(6) and the strong multiplicity one theorem for generic representations of GSp(4)
- Symplectic-Whittaker models for \(Gl_ n\)
- Twisted endoscopy and reducibility of induced representations for \(p\)- adic groups
- Kloosterman integrals for skew symmetric matrices
- The multiplicity one theorem for \(\mathrm{GL}_n\)
- The local converse theorem for \(\operatorname {SO}(2n+1)\) and applications
- Kirillov theory for \(GL_2 ({\mathcal D})\) where \({\mathcal D}\) is a division algebra over a non-Archimedean local field
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- Functoriality for the classical groups
- On the transverse symbol of vectorial distributions and some applications to harmonic analysis
- On explicit lifts of cusp forms from \(\text{GL}_m\) to classical groups
- A simple proof of Langlands conjectures for \(\text{GL}_n\) on a \(p\)-adic field
- Global Jacquet-Langlands correspondence, multiplicity one and classification of automorphic representations. With an appendix by Neven Grbac.
- The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)
- Rankin-Selberg Convolutions
- Corps de nombres peu ramifiés et formes automorphes autoduales
- Linear periods.
- Level zero Hecke algebras and parabolic induction: The Siegel case for split classical groups
- Functoriality and the inverse Galois problem
- Generalised form of a conjecture of Jacquet and a local consequence
- On Shalika periods and a theorem of Jacquet-Martin
- Klyachko Models for General Linear Groups of Rank 5 over a p-Adic Field
- Uniqueness of Shalika Models
- On Euler Products and the Classification of Automorphic Forms II
- Simple Algebras, Base Change, and the Advanced Theory of the Trace Formula. (AM-120)
- REPRESENTATIONS OF THE GROUPGL(n,F) WHEREFIS A NON-ARCHIMEDEAN LOCAL FIELD
- 𝐿 functions for the orthogonal group
- On the fundamental automorphic L-functions of SO(2n + 1)
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Local Shalika models and functoriality
