An approach to the tangential Poisson cohomology based on examples in duals of Lie algebras
| dc.creator | Gammella, Angela | |
| dc.date | 2002-07-24 | |
| dc.date | 2002-07-27 | |
| dc.date.accessioned | 2026-07-07T04:49:49Z | |
| dc.date.available | 2026-07-07T04:49:49Z | |
| dc.description | We study the tangential Poisson cohomology (TP-cohomology) of regular Poisson manifolds, first defined by Lichnerowicz using contravariant tensor fields. We show that for a regular Poisson manifold M, the TP-cohomology coincides with the leafwise de Rham (or Cech) cohomology of the symplectic foliation of M. Its computation in various degrees leads to open, non trivial problems. To get a better understanding of these difficulties, we study explicitly many examples coming from nilpotent and 3-dimensional (real) Lie algebras. For the latter, we compare the TP-cohomology and the usual Poisson cohomology (P-cohomology). | |
| dc.description | 35 pages, Latex 2e | |
| dc.identifier | https://arxiv.org/abs/math/0207215 | |
| dc.identifier | http://arxiv.org/abs/math/0207215 | |
| dc.identifier | Pacific Journal of Mathematics, Vol. 203, No.2, 2002 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64569 | |
| dc.subject | Differential Geometry | |
| dc.subject | Quantum Algebra | |
| dc.subject | 20G10, 53D55, 53D17, 17B30 | |
| dc.title | An approach to the tangential Poisson cohomology based on examples in duals of Lie algebras | |
| dc.type | text |