A cohomological injectivity result for the residual automorphic spectrum of \(\mathrm{GL}_n\)

DOI10.2140/PJM.2014.268.33zbMath1312.11040OpenAlexW2006072099WikidataQ123310249 ScholiaQ123310249MaRDI QIDQ2510057

Harald Grobner

Publication date: 31 July 2014

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

Full work available at URL: https://doi.org/10.2140/pjm.2014.268.33

zbMATH Keywords

general linear groupparabolic subgroupautomorphic cohomologyresidual representation

Mathematics Subject Classification ID

Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Representation-theoretic methods; automorphic representations over local and global fields (11F70) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47) Cohomology of arithmetic groups (11F75)

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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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