23 citations · 78 across the 23 of their papers we have counts for
4 papers · 1 filter
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…
The Belkale-Kumar cup product and relative Lie algebra cohomology
Sam Evens, William Graham, with an appendix jointly written with Edward Richmond
We study the Belkale-Kumar family of cup products on the cohomology of a generalized flag variety. We give an alternative construction of the family using relative Lie algebra coho…
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…
On some invariants of orbits in the flag variety under a symmetric subgroup
Sam Evens, Jiang-Hua Lu
Let be a connected reductive algebraic group over an algebraically closed field of characteristic not equal to 2, let $\B$ be the variety of all Borel subgroups of $G…