Structure "Hyper-Lie Poisson"
| dc.creator | Xu, Ping | |
| dc.date | 1996-05-19 | |
| dc.date.accessioned | 2026-07-07T09:12:46Z | |
| dc.date.available | 2026-07-07T09:12:46Z | |
| dc.description | The main purpose of the paper is to study hyperkahler structures from the viewpoint of symplectic geometry. We introduce a notion of hypersymplectic structures which encompasses that of hyperkahler structures. Motivated by the work of Kronheimer on (co)adjoint orbits of semi-simple Lie algebras, we define hyper-Lie Poisson structures associated with a compact semi-simple Lie algebra and give criterion which implies their existence. We study an explicit example of a hyper-Lie Poisson structure, in which the moduli spaces of solutions to Nahm's equations assocaited to Lie algebra $\frak{su}(2)$ are realized as hypersymplectic leaves and are related to the (co)adjoint orbits of $\frak{sl}(2, \complex)$. | |
| dc.description | LaTex, 26 pages, to appear in Ann. Sci. Ecole Norm. Sup | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9605007 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9605007 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152135 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58F05 (Primary), 53B35 (Secondary) | |
| dc.title | Structure "Hyper-Lie Poisson" | |
| dc.type | text |