Algebraic Nijenhuis operators and Kronecker Poisson pencils
| dc.creator | Panasyuk, Andriy | |
| dc.date | 2005-04-16 | |
| dc.date | 2005-05-19 | |
| dc.date.accessioned | 2026-07-07T05:19:10Z | |
| dc.date.available | 2026-07-07T05:19:10Z | |
| dc.description | We give a criterion of (micro-)kroneckerity of the linear Poisson pencil on $\frak{g}^*$ related to an algebraic Nijenhuis operator $N:\frak{g}\to \frak{g}$ on a finite-dimensional Lie algebra $\frak{g}$. As an application we get a series of examples of completely integrable systems on semisimple Lie algebras related to Borel subalgebras and a new proof of the complete integrability of the free rigid body system on $\frak{gl}_n$. | |
| dc.description | 10 pages, references added | |
| dc.identifier | https://arxiv.org/abs/math/0504337 | |
| dc.identifier | http://arxiv.org/abs/math/0504337 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/74922 | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D17,53D20, 37J35 | |
| dc.title | Algebraic Nijenhuis operators and Kronecker Poisson pencils | |
| dc.type | text |