English

Cluster algebras in algebraic Lie theory

Representation Theory 2013-04-29 v1 Quantum Algebra Rings and Algebras

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.

Keywords

Cite

@article{arxiv.1208.5749,
  title  = {Cluster algebras in algebraic Lie theory},
  author = {Christof Geiss and Bernard Leclerc and Jan Schröer},
  journal= {arXiv preprint arXiv:1208.5749},
  year   = {2013}
}

Comments

Invited survey; to appear in Transformation Groups

R2 v1 2026-06-21T21:56:30.681Z