Cluster algebras in algebraic Lie theory
arXiv:1208.5749 · doi:10.1007/s00031-013-9215-z
Abstract
We survey some recent constructions of cluster algebra structures on coordinate rings of unipotent subgroups and unipotent cells of Kac-Moody groups. We also review a quantized version of these results.
Invited survey; to appear in Transformation Groups