dorsal/arxiv
View SchemaInduced representations of the one dimensional quantum Galilei group
| Authors | F. Bonechi, R. Giachetti, E. Sorace, M. Tarlini |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9610006 |
| URL | https://arxiv.org/abs/q-alg/9610006 |
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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"abstract": "We study the representations of the quantum Galilei group by a suitable\ngeneralization of the Kirillov method on spaces of non commutative functions.\nOn these spaces we determine a quasi-invariant measure with respect to the\naction of the quantum group by which we discuss unitary and irreducible\nrepresentations. The latter are equivalent to representations on \\ell^2, i.e.\non the space of square summable functions on a one dimensional lattice.",
"arxiv_id": "q-alg/9610006",
"authors": [
"F. Bonechi",
"R. Giachetti",
"E. Sorace",
"M. Tarlini"
],
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"q-alg",
"hep-th",
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],
"title": "Induced representations of the one dimensional quantum Galilei group",
"url": "https://arxiv.org/abs/q-alg/9610006"
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