Lie Cohomology of Representations of Nilpotent Lie Groups and Holomorphically Induced Representations

DOI10.2307/1998316zbMath0464.22005OpenAlexW4238899588MaRDI QIDQ3915181

Richard C. Penney

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/1998316

zbMATH Keywords

nilpotent Lie groupLie algebra cohomologyholomorphically induced representationssquare integrable representationdifferentiable vectors

Mathematics Subject Classification ID

Analysis on real and complex Lie groups (22E30) Nilpotent and solvable Lie groups (22E25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

Related Items (5)

Harmonically induced representations of solvable Lie groups ⋮ Realization of representations of completely solvable Lie groups in spaces of \(L^ 2\) harmonic forms ⋮ Unitary Structures on Cohomology ⋮ Frobenius Reciprocity and Extensions of Nilpotent Lie Groups ⋮ Holomorphically induced representations of exponential Lie groups

Cites Work

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• A general character formula for irreducible projections on \(L^2\) of a nilmanifold
• Harmonically induced representations of nilpotent Lie groups
• Unitary representations of a semi-direct product of Lie groups on \(\bar \partial\)-cohomology spaces
• On \(C^\infty\)-vectors and intertwining bilinear forms for representations of Lie groups
• Représentations du groupe de Heisenberg dans les espaces de \((O,q)\) formes
• Cohomology of Lie algebras
• Harmonically Induced Representations on Nilpotent Lie Groups and Automorphic Forms on Nilmanifolds
• Square Integrable Representations of Nilpotent Groups

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