Double Lie algebroids and second-order geometry, II
| dc.creator | Mackenzie, Kirill C. H. | |
| dc.date | 1997-12-22 | |
| dc.date.accessioned | 2026-07-07T03:24:38Z | |
| dc.date.available | 2026-07-07T03:24:38Z | |
| dc.description | We complete the construction of the double Lie algebroid of a double Lie groupoid begun in the first paper of this title. We show that the Lie algebroid structure of an LA--groupoid may be prolonged to the Lie algebroid of its Lie groupoid structure; in the case of a double groupoid this prolonged structure for either LA--groupoid is canonically isomorphic to the Lie algebroid structure associated with the other; this extends many canonical isomorphisms associated with iterated tangent and cotangent structures. We also show that the cotangent of a double Lie groupoid is a symplectic double groupoid, and that the side groupoids of any symplectic double groupoid are Poisson groupoids in duality. Thus any double Lie groupoid gives rise to a dual pair of Poisson groupoids. | |
| dc.description | 36 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/dg-ga/9712013 | |
| dc.identifier | http://arxiv.org/abs/dg-ga/9712013 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/33404 | |
| dc.subject | Differential Geometry | |
| dc.subject | 58H05 (Primary) 17B66, 18D05, 22A22, 58F05 | |
| dc.title | Double Lie algebroids and second-order geometry, II | |
| dc.type | text |