Induced representations of the one dimensional quantum Galilei group
q-alg
2008-02-03 v2 High Energy Physics - Theory
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.q-alg/9610006,
title = {Induced representations of the one dimensional quantum Galilei group},
author = {F. Bonechi and R. Giachetti and E. Sorace and M. Tarlini},
journal= {arXiv preprint arXiv:q-alg/9610006},
year = {2008}
}
Comments
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