Residual automorphic forms and spherical unitary representations of exceptional groups

DOI10.4007/annals.2013.177.3.9zbMath1269.22009arXiv1205.0426OpenAlexW2963260959MaRDI QIDQ1955953

Stephen D. Miller

Publication date: 19 June 2013

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.0426

zbMATH Keywords

Arthur's conjecturesunitary dualsmall representationsunipotent representationsautomorphic realizationsresidual Eisenstein series

Mathematics Subject Classification ID

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 (2)

Small representations, string instantons, and Fourier modes of Eisenstein series ⋮ Unnamed Item

Uses Software

• Mathematica
• Atlas of Lie Groups

Cites Work

• Small representations, string instantons, and Fourier modes of Eisenstein series
• Eisenstein series for higher-rank groups and string theory amplitudes
• A unitarity criterion for p-adic groups
• The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\)
• On the functional equations satisfied by Eisenstein series
• On the automorphic theta representation for simply laced groups
• The Residual Spectrum ofG₂
• Le spectre résiduel de ${\rm GL}(n)$
• Représentations unipotentes et formes automorphes de carré intégrable
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