Induced representations of the one dimensional quantum Galilei group

Details Induced representations of the one dimensional quantum Galilei group Induced representations of the one dimensional quantum Galilei group

1996-10-03

arxiv.org/abs/q-alg/9610006v2

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, TeX. This is a major revision. The construction of the unitary representations is completely revised, the definition

Scientific paper

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.

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