Induced representations of the one dimensional quantum Galilei group
  We study the representations of the quantum Galilei group by a suitable generalization of the Kirillov method on spaces of non commutative functions. On these spaces we determine a quasi-invariant measure with respect to the action of the quantum group by which we discuss unitary and irreducible representations. The latter are equivalent to representations on \ell^2, i.e. on the space of square summable functions on a one dimensional lattice. 
F. Bonechi, R. Giachetti, E. Sorace, M. Tarlini (Dip. di Fisica, Univ.   di Firenze e INFN di Firenze, Italia)