14 citations · 18 across the 2 of their papers we have counts for
2 papers
math.QA2009★ 14 cited
Poisson structures compatible with the cluster algebra structure in Grassmannians
Michael Gekhtman, Michael Shapiro, Alexander Stolin +1
We describe all Poisson brackets compatible with the natural cluster algebra structure in the open Schubert cell of the Grassmannian and show that any such bracket endows…
solv-int1997★ 4 cited
Non-commutative and commutative integrability of generic Toda flows in simple Lie algebras
M. Gekhtman, M. Shapiro
In this paper we prove the complete integrability of Toda flows on generic coadjoint orbits in simple Lie algebras.