Geometry of Singularities of Integrable Systems on Lie Algebras
Yu. A. Brailov, Moscow State University, Russia
Integrable systems generated by consistent Poisson brackets on semi-simple Lie algebras are greatly related to the structure of ground algebra.
2005 Pbk ISBN: 1-904868-49-5 56pp
The most important geometrical properties of Liouvilles foliation are expressed in algebraic terms. The exact relation is also established between the singularities of momentum mapping and degenerations of the corresponding spectral curve
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