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math.CO2012
Cluster Ensembles and Kac-Moody Groups
Harold Williams
We study the relationship between two sets of coordinates on a double Bruhat cell, the cluster variables introduced by Berenstein, Fomin, and Zelevinsky and the $\CX$-coordinates d…
math.QA2012★ 28 cited
Double Bruhat Cells in Kac-Moody Groups and Integrable Systems
Harold Williams
We construct a family of integrable Hamiltonian systems generalizing the relativistic periodic Toda lattice, which is recovered as a special case. The phase spaces of these systems…