Coadjoint Orbits of Certain Motion Groups and Their Coherent States

DOI10.1080/14029251.2013.855046zbMath1420.22006OpenAlexW2048875794MaRDI QIDQ5230902

Majdi Ben Halima

Publication date: 29 August 2019

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14029251.2013.855046

zbMATH Keywords

coadjoint orbitmotion groupcoherent statedequantization

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) General properties and structure of locally compact groups (22D05)

Cites Work

• Universal overgroup
• Orbit theory and harmonic analysis on Lie groups with co-compact nilradical
• Coherent states for arbitrary Lie group
• Harmonic Analysis in Phase Space. (AM-122)
• The Moment Map of a Lie Group Representation
• Strict quantization of coadjoint orbits
• Quantization and unitary representations
• The plancherel formula for group extensions
• Lie groups beyond an introduction
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