Article ID Journal Published Year Pages File Type
4606545 Differential Geometry and its Applications 2006 10 Pages PDF
Abstract
We give a criterion of (micro-)kroneckerity of the linear Poisson pencil on g∗ related to an algebraic Nijenhuis operator N:g→g 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.
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Physical Sciences and Engineering Mathematics Analysis
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