Globalizations of Harish-Chandra modules

DOI10.1090/S0273-0979-1987-15530-3zbMath0649.22010OpenAlexW2013478029MaRDI QIDQ3794428

Joseph A. Wolf, Wilfried Schmid

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1987-15530-3

zbMATH Keywords

Lie algebrasemisimple Lie groupmaximal compact subgroup

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Homogeneous complex manifolds (32M10) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items

\(D\)-modules and representation theory of Lie groups, Differential equations and Lie group representations, Unnamed Item, Analytic localization of group representations, Representations on partially holomorphic cohomology spaces, revisited, Geometric quantization and derived functor modules for semisimple Lie groups

Cites Work

• Localization and standard modules for real semisimple Lie groups. I: The duality theorem
• Representations of real reductive Lie groups
• \(L^2\)-cohomology and the discrete series
• Tensor products of finite and infinite dimensional representations of semisimple Lie groups
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
• HOMOGENEOUS COMPLEX MANIFOLDS AND REPRESENTATIONS OF SEMISIMPLE LIE GROUPS