Higher-Order Quantization on a Lie Group
| dc.creator | Aldaya, V. | |
| dc.creator | Guerrero, J. | |
| dc.creator | Marmo, G. | |
| dc.date | 1998-11-18 | |
| dc.date.accessioned | 2026-07-07T04:32:36Z | |
| dc.date.available | 2026-07-07T04:32:36Z | |
| dc.description | In this paper we are mainly concerned with the study of polarizations (in general of higher-order type) on a connected Lie group with a U(1)-principal bundle structure. The representation technique used here is formulated on the basis of a group quantization formalism previously introduced which generalizes the Kostant-Kirillov co-adjoint orbits method for connected Lie groups and the Borel-Weyl-Bott representation algorithm for semisimple groups. We illustrate the fundamentals of the group approach with the help of some examples like the abelian group $R^k$ and the semisimple group SU(2), and the use of higher-order polarizations with the harmonic oscillator group and the Schrödinger group, the last one constituting the simplest example of an anomalous group. Also, examples of infinite-dimensional anomalous groups are briefly considered. | |
| dc.description | 41 pages, latex, no figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/9811015 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9811015 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58246 | |
| dc.subject | Mathematical Physics | |
| dc.title | Higher-Order Quantization on a Lie Group | |
| dc.type | text |