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Published in:
2000 | OriginalPaper | Chapter
Cohomology of Congruence Subgroups of SU (2, 1) p and Hodge Cycles on Some Special Complex Hyperbolic Surfaces
Authors : Don Blasius, Jonathan Rogawski
Published in: Regulators in Analysis, Geometry and Number Theory
Publisher: Birkhäuser Boston
Included in: Professional Book Archive
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Let G be a semisimple algebraic group over a number field F and set G∞ = ∏ v∈S∞Gv, where S∞ is the set of archimedean places of F. As is well-known, the cohomology of a cocompact lattice Γ ⊂ G∞ is expressed in terms of the decomposition $${L^2}\left( {\Gamma \backslash {G_\infty }} \right) \simeq \hat \oplus m(\pi ,\Gamma )\pi $$