scientific article; zbMATH DE number 3608326

zbMath0392.22008MaRDI QIDQ4173587

Henri Moscovici, Andrei Verona

Publication date: 1978

Full work available at URL: http://www.numdam.org/item?id=AIHPA_1978__29_2_139_0

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zbMATH Keywords

TorusReductive GroupIrreducible Unitary RepresentationCoherent State RepresentationsDiscrete KernelExponential Lie GroupRelative Discrete SeriesSquare Integrable Representations

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)

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Square-integrability modulo a subgroup, Completeness of coherent state subsystems for nilpotent Lie groups, Invariant metric on the extended Siegel-Jacobi upper half space, The density theorem for discrete series representations restricted to lattices, Unnamed Item, The real Jacobi group revisited, Unnamed Item, Unnamed Item

Cites Work

• Characters of connected Lie groups
• \(L^2\)-cohomology and the discrete series
• Lectures on geometric quantization
• Lie groups with square integrable representations
• Coherent state representations of nilpotent Lie groups
• Discrete series for semisimple Lie groups. II: Explicit determination of the characters
• Polarization and unitary representations of solvable Lie groups. Appendix by Calvin C. Moore
• Homogeneous spaces with finite invariant measure
• Induced representation of locally compact groups. I
• The action of a real semisimple Lie group on a complex flag manifold. II. Unitary representations on partially holomorphic cohomology spaces
• Ergodicity of Flows on Homogeneous Spaces
• Quantization and unitary representations
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