Cluster algebras in algebraic lie theory

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.

Saved in:
Bibliographic Details
Published in:Transformation groups 2013-03, Vol.18 (1), p.149-178
Main Authors: Geiss, Ch, Leclerc, B., Schröer, J.
Format: Article
Language:English
Subjects:
Algebra
Lie Groups
Mathematics
Mathematics and Statistics
Representation Theory
Research-Expository Survey
Topological Groups
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1083-4362
1531-586X
DOI:10.1007/s00031-013-9215-z