scientific article; zbMATH DE number 4194038
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Publication:5758392
zbMath0724.22013MaRDI QIDQ5758392
Publication date: 1990
Full work available at URL: http://www.numdam.org/item?id=AIHPA_1990__53_2_245_0
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Hilbert spacehighest weight representationconnected real Lie groupirreducible unitary representationconnected semisimple Lie groupcomplex orbitsinvariant Kähler structureKähler coherent state orbits
Global differential geometry of Hermitian and Kählerian manifolds (53C55) Applications of Lie groups to the sciences; explicit representations (22E70) Semisimple Lie groups and their representations (22E46) Coherent states (81R30)
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A classification of coherent state representations of unimodular Lie groups ⋮ Completeness of coherent state subsystems for nilpotent Lie groups ⋮ Density conditions with stabilizers for lattice orbits of Bergman kernels on bounded symmetric domains ⋮ Coherent state representations. A survey ⋮ Coherent states and geometric quantization ⋮ Coadjoint Orbits of Certain Motion Groups and Their Coherent States ⋮ Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone
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