Automorphic Forms, Cohomology and CAP Representations. The Case $GL_2$ over a definite quaternion algebra

zbMath1315.11042arXiv1003.2326MaRDI QIDQ4916998

Harald Grobner

Publication date: 26 April 2013

Full work available at URL: https://arxiv.org/abs/1003.2326

zbMATH Keywords

general linear groupEisenstein cohomologycuspidal cohomologydefinite quaternion algebraautomorpphic cohomologyrationality of critical \(L\)-values

Mathematics Subject Classification ID

Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Special values of automorphic (L)-series, periods of automorphic forms, cohomology, modular symbols (11F67) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Cohomology of arithmetic groups (11F75)

Related Items (3)

Nonvanishing square-integrable automorphic cohomology classes: the case \(\operatorname{GL}(2)\) over a central division algebra ⋮ LIFTING TO GL(2) OVER A DIVISION QUATERNION ALGEBRA, AND AN EXPLICIT CONSTRUCTION OF CAP REPRESENTATIONS ⋮ 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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