Quadratic Unipotent Arthur Parameters and Residual Spectrum of Symplectic Groups

DOI10.1353/AJM.1996.0009zbMath0866.11036OpenAlexW2010776175MaRDI QIDQ4879091

Freydoon Shahidi, Henry H. Kim

Publication date: 30 June 1997

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

Full work available at URL: http://muse.jhu.edu/journals/american_journal_of_mathematics/toc/ajm118.2.html

zbMATH Keywords

representationsresidual spectrumresidues of Eisenstein seriesArthur's conjectural multiplicity formulaquadratic unipotent Arthur parameterssquare integrable residuessymplectic group over a number field

Mathematics Subject Classification ID

Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46) 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)

Related Items (6)

The residual spectrum of the group of type \(G_ 2\) ⋮ On the conjugacy classes in the orthogonal and symplectic groups over algebraically closed fields. ⋮ Non-Siegel Eisenstein series for symplectic groups ⋮ Unnamed Item ⋮ Unnamed Item ⋮ An explicit construction of automorphic representations of the symplectic group with a given quadratic unipotent Arthur parameter

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