On the finiteness of the \(L^ 2\)-automorphic cohomology of a flag domain

DOI10.1016/0022-1236(87)90079-6zbMath0622.32022OpenAlexW2062770022MaRDI QIDQ1090815

Floyd L. Williams

Publication date: 1987

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(87)90079-6

zbMATH Keywords

semi-simple Lie grouphomogeneous vector bundleperiod matrixautomorphic cohomologyflag domain

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Period matrices, variation of Hodge structure; degenerations (32G20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10) Automorphic forms in several complex variables (32N10) Homogeneous complex manifolds (32M10)

Cites Work

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• Periods of Integrals on Algebraic Manifolds, II: (Local Study of the Period Mapping)
• The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components
• Periods of integrals on algebraic manifolds: Summary of main results and discussion of open problems
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