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math.RT2011
The Gelfand-Zeitlin integrable system and K-orbits on the flag variety
Mark Colarusso, Sam Evens
In this expository paper, we provide an overview of the Gelfand-Zeiltin integrable system on the Lie algebra of complex matrices $\fgl(n,\C)$ introduced by Kostant and…
math.RT2011
K-orbits on the flag variety and strongly regular nilpotent matrices
Mark Colarusso, Sam Evens
In two 2006 papers, Kostant and Wallach constructed a complexified Gelfand-Zeitlin integrable system for the Lie algebra $\fgl(n+1,\C)$ and introduced the strongly regular elements…