Projective representations of the 1+1-dimensional Poincaré group

DOI10.1063/1.531516zbMath0862.22017OpenAlexW1966892715MaRDI QIDQ5284282

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Publication date: 26 May 1997

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

Full work available at URL: https://doi.org/10.1063/1.531516

zbMATH Keywords

unitary irreducible representationsPoincaré groupcentral extensionGalilean groupKirillov theory

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05)

Related Items (1)

RESIDUAL SYMMETRIES IN THE PRESENCE OF AN EM BACKGROUND

Cites Work

• The Galilean group in \(2+1\) space-times and its central extension
• The representations of the oscillator group
• On unitary ray representations of continuous groups
• Sur Les Représentations Unitaires Des Groupes De Lie Nilpotents. III
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• UNIVERSAL CENTRAL EXTENSIONS
• Quantization of a classical system on a coadjoint orbit of the Poincaré group in 1+1 dimensions
• Gauge-invariant formulations of lineal gravities
• Representations of the (2+1)-dimensional Galilean group
• QUANTUM THEORY OF LANDAU AND PEIERLS ELECTRONS FROM THE CENTRAL EXTENSIONS OF THEIR SYMMETRY GROUPS
• The projective unitary irreducible representations of the Galilei group in 1+2 dimensions
• Quantization and representations of solvable Lie groups

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