Geometric quantization and derived functor modules for semisimple Lie groups

DOI10.1016/0022-1236(90)90080-5zbMath0781.22009OpenAlexW2019520657MaRDI QIDQ1813254

Wilfried Schmid, Joseph A. Wolf

Publication date: 25 June 1992

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

Full work available at URL: https://doi.org/10.1016/0022-1236(90)90080-5

zbMATH Keywords

flag varietysemisimple Lie groupduality theoremgeometric quantizationcomplexified Lie algebraderived functor moduleslocal cohomology groupsFréchet representations

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Homology and cohomology of Lie groups (57T10) Lie algebras of Lie groups (22E60)

Related Items (11)

Real Group Orbits on Flag Ind-Varieties of $$\mathrm {SL}(\infty ,\mathbb {C})$$ SL ( ∞ , C ) ⋮ Differential equations and Lie group representations ⋮ On the representations of Sp(p, q) and SO*(2n) unitarily induced from derived functor modules ⋮ Square integrable harmonic forms and representation theory ⋮ Cohomological induction in various categories and the maximal globalization conjecture ⋮ Unnamed Item ⋮ Intertwining operators into Dolbeault cohomology representations ⋮ Representations on partially holomorphic cohomology spaces, revisited ⋮ Unnamed Item ⋮ Two geometric character formulas for reductive Lie groups ⋮ A proof of Casselman’s comparison theorem

Cites Work

• Zur Differentialgeometrie der komplexen Strukturen
• Localization and standard modules for real semisimple Lie groups. I: The duality theorem
• Analytic localization of group representations
• Representations of real reductive Lie groups
• On a conjecture of Langlands
• A proof of Blattner's conjecture
• \(L^2\)-cohomology and the discrete series
• Some properties of squareintegrable representations of semisimple Lie groups
• The orbits of affine symmetric spaces under the action of minimal parabolic subgroups
• Globalizations of Harish-Chandra modules
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
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