THE AUTOMORPHIC COHOMOLOGY AND THE RESIDUAL SPECTRUM OF HERMITIAN GROUPS OF RANK ONE

DOI10.1142/S0129167X10005969zbMath1221.11132MaRDI QIDQ5306096

Harald Grobner

Publication date: 29 March 2010

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

zbMATH Keywords

Eisenstein seriestrace formulamultiplicitiesresidual spectrumcuspidal automorphic representationcohomology of arithmetic groupsEisenstein cohomology

Mathematics Subject Classification ID

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) Cohomology of arithmetic groups (11F75)

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An explicit growth condition for middle-degree cuspidal cohomology of arithmetically defined quaternionic hyperbolic \(n\)-manifolds

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