Endoscopic transfer and automorphic L-functions: The case of the general spin group and the twisted symmetric and exterior square L-functions
DOI10.21857/m8vqrt3n19OpenAlexW4391630803WikidataQ128286319 ScholiaQ128286319MaRDI QIDQ6204974
Publication date: 11 April 2024
Published in: Rad Hrvatske akademije znanosti i umjetnosti. Matematičke znanosti (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.21857/m8vqrt3n19
spectral decompositionautomorphic representationLanglands-Shahidi methodgeneral spin groupendoscopic classificationtwisted symmetric and exterior square automorphic \(L\)-function
Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Representations of Lie and linear algebraic groups over global fields and adèle rings (22E55)
Cites Work
- Eisenstein series, cohomology of arithmetic groups, and automorphic \(L\)-functions at half integral arguments
- On a certain metaplectic Eisenstein series and the twisted symmetric square \(L\)-function
- Twisted symmetric square \(L\)-functions for \(\mathrm {GL}_n\) and invariant trilinear forms
- On the residual spectrum of split classical groups supported in the Siegel maximal parabolic subgroup
- Regularization theorems in Lie algebra cohomology. Applications
- Strongly positive representations of even GSpin groups
- On Eisenstein series and the cohomology of arithmetic groups
- The unitary dual of \(\mathrm{GL}(n)\) over an archimedean field
- On the Ramanujan conjecture and finiteness of poles for certain \(L\)-functions
- On the functional equations satisfied by Eisenstein series
- Gelfand-Kirillov dimension for Harish-Chandra modules
- On reducibility of parabolic induction
- The holomorphy and nonvanishing of normalized local intertwining operators
- A proof of Langlands' conjecture on Plancherel measures; complementary series for \(p\)-adic groups
- Lectures on automorphic \(L\)-functions
- Structure arising from induction and Jacquet modules of representations of classical \(p\)-adic groups
- Eisenstein series for rank one unitary groups and some cohomological applications
- A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low \(k\)-rank
- Endoscopic transfer for unitary groups and holomorphy of Asai \(L\)-functions
- The twisted symmetric square \(L\)-function of \(\mathrm{GL}(r)\)
- Generic transfer for general spin groups
- The residual Eisenstein cohomology of $Sp_{4}$ over a totally real number field
- On Residual Cohomology Classes Attached to Relative Rank One Eisenstein Series for the Symplectic Group
- Rankin-Selberg Convolutions
- Local L-Functions for Split Spinor Groups
- Le spectre résiduel de ${\rm GL}(n)$
- Induced representations of reductive ${\germ p}$-adic groups. II. On irreducible representations of ${\rm GL}(n)$
- On Euler Products and the Classification of Automorphic Representations I
- On Euler Products and the Classification of Automorphic Forms II
- Harmonic analysis in weighted L2-spaces
- Classification of unitary representations in irreducible representations of general linear group (non-Archimedean case)
- Eisenstein Cohomology and Automorphic L-Functions
- Endoscopic Classification of representations of Quasi-Split Unitary Groups
- Induced representations and classification for $GSp(2,F)$ and $Sp(2,F)$
- Descent Construction for GSpin groups
- Langlands-Shahidi $L$-functions for $GSpin$ groups and the generic Arthur packet conjecture
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