Vector coherent state theory of the semidirect sum Lie algebras wsp(2N,R)

DOI10.1088/0305-4470/23/6/011zbMath0715.22026OpenAlexW2029502950MaRDI QIDQ3202325

Christiane Quesne

Publication date: 1990

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/23/6/011

zbMATH Keywords

Lie algebraHeisenberg-Weyl algebradiscrete series irreducible representationsK-matrix theorysemidirect sum Lie algebrasVector coherent stateZ-gradation

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Applications of Lie groups to the sciences; explicit representations (22E70) Coherent states (81R30)

Related Items (7)

ON THE GEOMETRY OF SIEGEL–JACOBI DOMAINS ⋮ Invariant metric on the extended Siegel-Jacobi upper half space ⋮ A CONVENIENT COORDINATIZATION OF SIEGEL–JACOBI DOMAINS ⋮ CONSEQUENCES OF THE FUNDAMENTAL CONJECTURE FOR THE MOTION ON THE SIEGEL–JACOBI DISK ⋮ Coherent states and geometry on the Siegel–Jacobi disk ⋮ Balanced metric and Berezin quantization on the Siegel-Jacobi ball ⋮ Completeness and geometry of Schrödinger minimum uncertainty states

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