A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups
| dc.creator | Karolinsky, Eugene | |
| dc.date | 1999-01-18 | |
| dc.date | 2000-01-17 | |
| dc.date.accessioned | 2026-07-07T05:27:34Z | |
| dc.date.available | 2026-07-07T05:27:34Z | |
| dc.description | Let $G$ be a complex reductive connected algebraic group equipped with the Sklyanin bracket. A classification of Poisson homogeneous $G$-spaces with connected isotropy subgroups is given. This result is based on Drinfeld's correspondence between Poisson homogeneous $G$-spaces and Lagrangian subalgebras in the double $D(g)$ (here $g = Lie G$). A geometric interpretation of some of Poisson homogeneous $G$-spaces is also proposed. | |
| dc.description | LaTeX 2e, 9 pages, to be published in Banach Center Publications; minor changes (typos corrected) | |
| dc.identifier | https://arxiv.org/abs/math/9901073 | |
| dc.identifier | http://arxiv.org/abs/math/9901073 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77968 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Differential Geometry | |
| dc.subject | 53C30 (Primary); 17B20, 17B37, 16W30 (Secondary) | |
| dc.title | A classification of Poisson homogeneous spaces of complex reductive Poisson-Lie groups | |
| dc.type | text |