3 papers
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.AG2017
Complex adjoint orbits in Lie theory and geometry
Peter Crooks
This expository article is an introduction to the adjoint orbits of complex semisimple groups, primarily in the algebro-geometric and Lie-theoretic contexts, and with a pronounced…
math.AG2015
Properties of nilpotent orbit complexification
Peter Crooks
We consider aspects of the relationship between nilpotent orbits in a semisimple real Lie algebra and those in its complexification . In p…