17 citations · 21 across the 3 of their papers we have counts for
6 papers
Generic Caldero-Chapoton functions with coefficients and applications to surface cluster algebras
Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer
We realize Derksen-Weyman-Zelevinsky's mutations of representations as densely-defined regular maps on representation spaces, and study the generic values of Caldero-Chapoton funct…
Rigid modules and Schur roots
Christof Geiß, Bernard Leclerc, Jan Schröer
Let be a symmetrizable generalized Cartan matrix with symmetrizer and orientation . In previous work we associated an algebra to this data, such that the locally fre…
Quantum cluster algebras and their specializations
Christof Geiß, Bernard Leclerc, Jan Schröer
We show that in case a cluster algebra coincides with its upper cluster algebra and the cluster algebra admits a grading with finite dimensional homogeneous components, the corresp…
Quivers with relations for symmetrizable Cartan matrices and algebraic Lie theory
Christof Geiß
We give an overview of our effort to introduce (dual) semicanonical bases in the setting of symmetrizable Cartan matrices.
Quivers with relations for symmetrizable Cartan matrices II : Convolution algebras
Christof Geiss, Bernard Leclerc, Jan Schröer
We realize the enveloping algebra of the positive part of a symmetrizable Kac-Moody algebra as a convolution algebra of constructible functions on module varieties of some Iwanaga-…
Cluster algebras in algebraic Lie theory
Christof Geiss, Bernard Leclerc, Jan Schröer
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 ver…