177 citations · 1.7k across the 51 of their papers we have counts for
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math.RT2010
Cluster algebras and representation theory
Bernard Leclerc
We apply the new theory of cluster algebras of Fomin and Zelevinsky to study some combinatorial problems arising in Lie theory. This is joint work with Geiss and Schröer (3, 4, 5,…
math.RT2010★ 47 cited
Generic bases for cluster algebras and the Chamber Ansatz
Christof Geiß, Bernard Leclerc, Jan Schröer
Let Q be a finite quiver without oriented cycles, and let be the corresponding preprojective algebra. Let g be the Kac-Moody Lie algebra with Cartan datum given by Q, and let W…
math.RT2010★ 177 cited
Kac-Moody groups and cluster algebras
Christof Geiss, Bernard Leclerc, Jan Schröer
Let Q be a finite quiver without oriented cycles, let Λbe the associated preprojective algebra, let g be the associated Kac-Moody Lie algebra with Weyl group W, and let n be the po…