On limit multiplicities of representations with cohomology in the cuspidal spectrum

DOI10.1215/S0012-7094-87-05511-6zbMath0626.22008OpenAlexW1540768731MaRDI QIDQ580516

Jürgen Rohlfs, Birgit Speh

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-87-05511-6

zbMATH Keywords

multiplicityunitary representationsemisimple Lie groupdiscrete series representationsarithmetic subgroupscocompact discrete subgroupscohomological methodscuspidal spectrumformal degree

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Structure of modular groups and generalizations; arithmetic groups (11F06)

Related Items (18)

Fourier coefficients of automorphic forms and integrable discrete series ⋮ Limit multiplicities of cusp forms ⋮ Automorphic Plancherel density theorem ⋮ Poincaré series for non-Riemannian locally symmetric spaces ⋮ Asymptotics of Automorphic Spectra and the Trace Formula ⋮ Répartition asymptotique des valeurs propres de l’opérateur de Hecke 𝑇_𝑝 ⋮ Spectral analysis on pseudo-Riemannian locally symmetric spaces ⋮ Characters, \(L^2\)-Betti numbers and an equivariant approximation theorem ⋮ Automorphic representations and Lefschetz numbers ⋮ On fields of rationality for automorphic representations ⋮ Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms ⋮ Strong limit multiplicity for arithmetic hyperbolic surfaces and 3-manifolds ⋮ Asymptotic behavior of supercuspidal representations and Sato-Tate equidistribution for families ⋮ Equivariant Euler-Poincaré characteristic in sheaf cohomology ⋮ Theta lifting for unitary representations with nonzero cohomology ⋮ A note on multiplicities of singular representations in the discrete spectrum of Sl(2,\({\mathbb{R}})/\Gamma\) ⋮ Unnamed Item ⋮ LIMIT MULTIPLICITIES FOR PRINCIPAL CONGRUENCE SUBGROUPS OF AND

Cites Work

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• Théoremes de finitude en cohomologie galoisienne
• Laplacian and the Discrete Spectrum of an Arithmetic Group
• A Gauss-Bonnet formula for discrete arithmetically defined groups

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