Representations with cohomology in the discrete spectrum of subgroups of ${\rm SO}(n,1)({Z})$ and Lefschetz numbers

DOI10.24033/asens.1525zbMath0626.22010OpenAlexW2525467469MaRDI QIDQ3029216

Birgit Speh, Jürgen Rohlfs

Publication date: 1987

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1987_4_20_1_89_0

zbMATH Keywords

cohomology groupsSelberg trace formulasymmetric spaceirreducible unitary representationsLefschetz numberarithmetic subgroupdiscrete series representationBorel-Serre compactificationsemisimple algebraic grouprelative Lie algebra cohomologycusp cohomologycuspidal automorphic formsfinite multiplicitiessquare integrable cohomology

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) Cohomology of Lie (super)algebras (17B56) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items

AUTOMORPHIC LEFSCHETZ PROPERTIES FOR NONCOMPACT ARITHMETIC MANIFOLDS ⋮ Eisenstein cohomology for congruence subgroups of \(\text{SO}(n,2)\) ⋮ Kloosterman sums for Clifford algebras and a lower bound for the positive eigenvalues of the Laplacian for congruence subgroups acting on hyperbolic spaces ⋮ Regular and residual Eisenstein series and the automorphic cohomology of Sp(2,2) ⋮ Automorphic representations and Lefschetz numbers ⋮ An explicit growth condition for middle-degree cuspidal cohomology of arithmetically defined quaternionic hyperbolic \(n\)-manifolds ⋮ Lefschetz numbers and twisted stabilized orbital integrals

Cites Work

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