A classification of coherent state representations of unimodular Lie groups

DOI10.1090/S0273-0979-1991-16019-2zbMath0736.22008WikidataQ115282216 ScholiaQ115282216MaRDI QIDQ3974110

Wojciech Lisiecki

Publication date: 25 June 1992

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

zbMATH Keywords

unitary representationcoherent state representationconnected Lie groupcoherent state orbitconnected unimodular CS groupsCS representations

Mathematics Subject Classification ID

Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Homogeneous complex manifolds (32M10)

Related Items (8)

ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS ⋮ Completeness of coherent state subsystems for nilpotent Lie groups ⋮ Coherent state representations. A survey ⋮ Invariant metric on the extended Siegel-Jacobi upper half space ⋮ The real Jacobi group revisited ⋮ Linear dynamical systems, coherent state manifolds, flows, and matrix Riccati equation ⋮ Coherent state representations of the holomorphic automorphism group of the tube domain over the dual of the Vinberg cone ⋮ Holomorphic Realization of Unitary Representations of Banach–Lie Groups

Cites Work

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• Hermitian symmetric spaces and their unitary highest weight modules
• On reproducing kernels and quantization of states
• The fundamental conjecture for homogeneous Kähler manifolds
• Irreducibility of certain unitary representations
• Unitary representations of a semi-direct product of Lie groups on \(\bar \partial\)-cohomology spaces
• On Kaehlerian Homogeneous Spaces of Unimodular Lie Groups
• QUANTIZATION IN COMPLEX SYMMETRIC SPACES

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