The projective unitary irreducible representations of the Poincaré group in 1+2 dimensions

DOI10.1063/1.529994zbMath0790.22012arXivhep-th/9304142OpenAlexW2006197278MaRDI QIDQ3141410

Dan Radu Grigore

Publication date: 22 June 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9304142

zbMATH Keywords

universal covering groupexplicit formulasPoincaré groupLorentz groupMackey theoremprojective unitary irreducible representations

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) Structure and representation of the Lorentz group (22E43) Induced representations for locally compact groups (22D30)

Related Items (8)

Transitive symplectic manifolds in 1+2 dimensions ⋮ The projective unitary irreducible representations of the Galilei group in 1+2 dimensions ⋮ Free fields for any spin in 1+2 dimensions ⋮ Construction of representations of Poincaré group using Lie fields ⋮ On the construction of free fields in relativistic quantum mechanics ⋮ Anyon wave equations and the noncommutative plane ⋮ Notes on the BMS group in three dimensions. II: Coadjoint representation ⋮ Non-commutative waves for gravitational anyons

Cites Work

• The Plancherel formula for the universal covering group of SL(R, 2)
• Irreducible unitary representations of the Lorentz group
• On unitary ray representations of continuous groups

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