Induced representations of the one dimensional quantum Galilei group

F. Bonechi; R. Giachetti; E. Sorace; M. Tarlini

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Induced representations of the one dimensional quantum Galilei group

F. Bonechi·R. Giachetti·E. Sorace·M. Tarlini

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Abstract

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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F. Bonechi, R. Giachetti, E. Sorace, M. Tarlini. 1997-07-29. Induced representations of the one dimensional quantum Galilei group. https://arxiv.org/abs/q-alg/9610006

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