Quantization of the nilpotent orbits in so(1,2)* and massless particles on (anti-)de Sitter space–time

DOI10.1063/1.530447zbMath0832.58018OpenAlexW2056485286MaRDI QIDQ4317996

Stephan De Bièvre, Jacques Renaud

Publication date: 25 January 1995

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

Full work available at URL: https://doi.org/10.1063/1.530447

zbMATH Keywords

conformal symmetryclassical limitgeometric quantizationnilpotent orbit

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of Lie groups to the sciences; explicit representations (22E70) Applications of differential geometry to physics (53Z05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Geometry and quantization, symplectic methods (81S10) Geometric quantization (53D50)

Related Items

The indecomposable representation of \(\text{SO}_ 0 (2,2)\) on the one- particle space of the massless field in \(1+1\) dimension ⋮ Symbolic calculus on the nilpotent orbits of \(SO_ 0(1,2)\) ⋮ Semiclassical limit for the Binegar–Zierau quantization of the minimal nilpotent orbits of SOo(2p,2) ⋮ Massless QFT on \((1+1)\)-de Sitter space-time

Cites Work

• General concept of quantization
• The classical limit of quantum partition functions
• Extensions of representations and cohomology
• Relativistic harmonic oscillator and space curvature
• On a Hilbert space of analytic functions and an associated integral transform part I
• Invariant bilinear forms on 3+2 de Sitter space
• Quantum fields in curved space-times