Symbolic calculus on the nilpotent orbits of \(SO_ 0(1,2)\)

DOI10.1016/0393-0440(95)00029-1zbMath0853.58115OpenAlexW2093547340WikidataQ127255265 ScholiaQ127255265MaRDI QIDQ1921971

Jacques Renaud

Publication date: 5 January 1997

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0393-0440(95)00029-1

zbMATH Keywords

anti-de Sitter space-timeMinkowski space-timesymbolic calculusPoincaré groupcoadjoint conical orbitszero mass particles

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of global analysis to the sciences (58Z05)

Cites Work

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• General concept of quantization
• Some ideas about quantization
• Deformation theory and quantization. I: Deformations of symplectic structures
• The indecomposable representation of \(\text{SO}_ 0 (2,2)\) on the one- particle space of the massless field in \(1+1\) dimension
• La série discrète de ${\rm SL}(2,\,{R})$ et les opérateurs pseudo-différentiels sur une demi-droite
• The Stratonovich–Weyl correspondence for one-dimensional kinematical groups
• Quantization of the nilpotent orbits in so(1,2)* and massless particles on (anti-)de Sitter space–time
• Moyal quantization with compact symmetry groups and noncommutative harmonic analysis

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