The Projective Unitary Irreducible Representations of the Poincar\'e Group in 1+2 Dimensions
classification
✦ hep-th
keywords
groupdimensionsrepresentationsexplicitirreduciblepoincarprojectiveunitary
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We give a complete analysis of the projective unitary irreducible representations of the Poincar\'e group in 1+2 dimensions applying Mackey theorem and using an explicit formula for the universal covering group of the Lorentz group in 1+2 dimensions. We provide explicit formulae for all representations.
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