The Residual Spectrum ofG2

DOI10.4153/CJM-1996-066-3zbMath0879.11024MaRDI QIDQ3128439

Henry H. Kim

Publication date: 29 January 1998

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

representationsdiscrete spectrumresidual spectrumArthur parametersadele ringsplit exceptional group of type \(G_ 2\)

Mathematics Subject Classification ID

Representation-theoretic methods; automorphic representations over local and global fields (11F70) Cohomology of arithmetic groups (11F75)

Related Items (10)

The residual spectrum of $\mathrm {Mp}_4(\mathbf {A}_k)$ ⋮ The residual spectrum of an inner form of 𝑆𝑝₈ supported in the minimal parabolic subgroup ⋮ Residual automorphic forms and spherical unitary representations of exceptional groups ⋮ The Langlands dual and unitary dual of quasi-split 𝑃𝐺𝑆𝑂₈^{𝐸} ⋮ Unnamed Item ⋮ Holomorphy of Rankin triple \(L\)-functions; special values and root numbers for symmetric cube \(L\)-functions ⋮ On a Rankin-Selberg integral of the \(L\)-function for \(\widetilde{\mathrm{SL}}_2\times\mathrm{GL}_2\) ⋮ Langlands-Shahidi method and poles of automorphic \(L\)-functions. II. ⋮ An orthogonality relation for (with an appendix by Bingrong Huang) ⋮ A construction of residues of Eisenstein series and related square-integrable classes in the cohomology of arithmetic groups of low \(k\)-rank

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