2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/150816We 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.11 pages, TeX. This is a major revision. The construction of the unitary representations is completely revised, the definition of a quasi-invariant measure on the homogeneous space is addedQuantum AlgebraHigh Energy Physics - Theorytext