Cohomologically induced distinguished representations and cohomological test vectors

DOI10.1215/00127094-2018-0044zbMath1473.22010arXiv1111.2636OpenAlexW108408270WikidataQ128973585 ScholiaQ128973585MaRDI QIDQ1731826

Bin Yong Sun

Publication date: 14 March 2019

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.2636

zbMATH Keywords

\(L\)-functionspecial valuecohomological inductiondistinguished representationreal reductive group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Continuous cohomology of Lie groups (22E41)

Related Items (7)

Archimedean non-vanishing, cohomological test vectors, and standard \(L\)-functions of \(\mathrm{GL}_{2n}\): complex case ⋮ On Deligne's conjecture for symmetric fourth \(L\)-functions of Hilbert modular forms ⋮ Archimedean non-vanishing, cohomological test vectors, and standard \(L\)-functions of \(\mathrm{GL}_{2n}\): real case ⋮ On period relations for automorphic 𝐿-functions I ⋮ L-functions of GL_2n: p-adic properties and non-vanishing of twists ⋮ Distinguished Representations of SO(n + 1,  1) × SO(n,  1), Periods and Branching Laws ⋮ Uniqueness of twisted linear periods and twisted Shalika periods

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