Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606545 | Differential Geometry and its Applications | 2006 | 10 Pages |
Abstract
We give a criterion of (micro-)kroneckerity of the linear Poisson pencil on gâ related to an algebraic Nijenhuis operator N:gâg on a finite-dimensional Lie algebra 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 gln.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Andriy Panasyuk,