On Quantum Orbit Method
| dc.creator | Korogodsky, Leonid I. | |
| dc.date | 1997-08-22 | |
| dc.date.accessioned | 2026-07-07T09:17:39Z | |
| dc.date.available | 2026-07-07T09:17:39Z | |
| dc.description | A version of quantum orbit method is presented for real forms of equal rank of quantum complex simple groups. A quantum moment map is constructed, based on the canonical isomorphism between a quantum Heisenberg algebra and an algebra of functions on a family of quantum G-spaces. For the series $A$, we construct some irreducible $*$-representations of $U_q{\frak g}$ which correspond to the semi-simple dressing orbits of minimal dimension in the dual Poisson Lie group. It is shown that some complimentary series representations correspond to some quantum 'tunnel' G-spaces which do not have a quasi-classical analog. | |
| dc.description | 24 pages, AMS-LaTeX | |
| dc.identifier | https://arxiv.org/abs/q-alg/9708026 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9708026 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/153746 | |
| dc.subject | Quantum Algebra | |
| dc.title | On Quantum Orbit Method | |
| dc.type | text |