Induced representations of the one dimensional quantum Galilei group
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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.
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 added
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 added