177 citations · 1k across the 25 of their papers we have counts for
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math.RT2005★ 51 cited
Semicanonical bases and preprojective algebras II: A multiplication formula
Christof Geiß, Bernard Leclerc, Jan Schröer
Let be a maximal nilpotent subalgebra of a complex symmetric Kac-Moody Lie algebra. Lusztig has introduced a basis of U(n) called the semicanonical basis, whose elements can be…
math.RT2005★ 54 cited
Auslander algebras and initial seeds for cluster algebras
Christof Geiß, Bernard Leclerc, Jan Schröer
Let be a Dynkin quiver and the corresponding set of positive roots. For the preprojective algebra associated to we produce a rigid -module with pai…
math.RT2005★ 116 cited
Rigid modules over preprojective algebras
Christof Geiß, Bernard Leclerc, Jan Schröer
Let $\la$ be a preprojective algebra of simply laced Dynkin type . We study maximal rigid $\la$-modules, their endomorphism algebras and a mutation operation on these modules. T…