On the cohomology of uniform arithmetically defined subgroups in SU*(2n)

DOI10.1017/S0305004111000430zbMath1228.22013OpenAlexW2061468299MaRDI QIDQ3095777

Joachim Schwermer, Christoph Waldner

Publication date: 4 November 2011

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004111000430

zbMATH Keywords

automorphic formscohomology of arithmetic groupsRiemannian symmetric pairuniform discrete group

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Discrete subgroups of Lie groups (22E40) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Cohomology of arithmetic groups (11F75)

Related Items (3)

Cohomological representations for real reductive groups ⋮ Nonvanishing square-integrable automorphic cohomology classes: the case \(\operatorname{GL}(2)\) over a central division algebra ⋮ Geometric cycles in compact locally Hermitian symmetric spaces and automorphic representations

Cites Work

• Arithmetic subgroups of algebraic groups
• The Lefschetz number of an involution on the space of classes of positive definite quadratic forms
• On the first Betti number of a constant negatively curved manifold
• Arithmetisch definierte Gruppen mit Galoisoperation
• Corners and arithmetic groups (Appendice: Arrondissement des varietes a coins par A. Douady et L. Herault)
• Unitarizability of certain series of representations
• Compact Clifford-Klein forms of symmetric spaces
• Geometric cycles, arithmetic groups and their cohomology
• Geometric cycles and the cohomology of arithmetic subgroups of the exceptional groupG₂

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