Coadjoint Orbits of the Poincaré Group in 2+1 Dimensions and their Coherent States (1011.6620v1)

Abstract: We study the structure of the coadjoint orbits of the 2+1 Poincar\'e group, using a matricial representation of the group. We also obtain the orbits connected to irreducible representations of the group. Finally we obtain coherent states for the hyperboloidal and conical orbits.