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math.SG2019
On the fibres of Mishchenko-Fomenko systems
Peter Crooks, Markus Röser
This work is concerned with Mishchenko and Fomenko's celebrated theory of completely integrable systems on a complex semisimple Lie algebra . Their theory associates…
math.SG2019
Kostant-Toda lattices and the universal centralizer
Peter Crooks
To each complex semisimple Lie algebra decorated with appropriate data, one may associate two completely integrable systems. One is the well-studied Kostant-Toda lat…