It is well-known that long ago, Wigner classified the unitary irreducible representations of the Poincare group in dimension 4. 


I am looking for a convenient reference describing all unitary irreducible representations of the Poincare group in dimensions 2 and 3. (I know how it can be done in principle. But I am looking for a reference to cite.)



Unitary irreps of the Poincare group in dimension <4
I finally found a complete analysis for dimension 3 in 


D.R. Grigore, The projective unitary irreducible representations of the Poincaré group in 1+2 dimensions, J. Math. Phys. 34 (1993), 4172-4189.
(<http://arxiv.org/abs/hep-th/9304142>)


Now I also found a complete analysis for dimension 2 in


S.K. Bose, Projective representations of the 1+ 1‐dimensional Poincaré group, J. Math. Phys. 37 (1996), 2376-2387.


For completeness, Wigner's classification in 4 dimensions is in


E.P. Wigner, On unitary representations of the inhomogeneous Lorentz group, Ann. Math. 40 (1939), 149–204.


