scientific article; zbMATH DE number 1201814

zbMath0909.22028MaRDI QIDQ4210559

Robert W. jun. Donley

Publication date: 22 September 1998

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

intertwining operatorDolbeault cohomologyholomorphic discrete series representationssemisimple connected real Lie groupnonunitary principal series representation

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Holomorphic maps on manifolds (58C10) Other representations of locally compact groups (22D12)

Related Items

Orthogonality relations and harmonic forms for semisimple Lie groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic behavior of matrix coefficients of admissible representations
• Homogeneous vector bundles
• Intertwining operators for real reductive groups
• Classification of irreducible tempered representations of semisimple groups. I
• Schur orthogonality relations for certain non square integrable representations of real semisimple Lie groups
• The algebraic structure of the representation of semisimple Lie groups. I
• Restrictions and expansions of holomorphic representations
• Intertwining operators into Dolbeault cohomology representations
• Szegoe kernels associated with discrete series
• \(L^2\)-cohomology and the discrete series
• Szegö mappings, harmonic forms, and Dolbeault cohomology
• Discrete decomposability of restriction of \(A_{\mathfrak q}(\lambda)\) with respect to reductive subgroups and its applications
• Irreducible characters of semisimple Lie groups. III: Proof of Kazhdan-Lusztig conjecture in the integral case
• Singular unitary representations and indefinite harmonic theory
• Square integrable harmonic forms and representation theory
• Lie algebra cohomology and the generalized Borel-Weil theorem
• Locally homogeneous complex manifolds
• Limits of holomorphic discrete series
• Representations of Semisimple Lie Groups, V
• Representations of Semisimple Lie Groups VI: Integrable and Square-Integrable Representations
• Lie Groups, Lie Algebras, and Cohomology. (MN-34), Volume 34
• Representations of a Semisimple Lie Group on a Banach Space. I