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math.RT2017★ 12 cited
Quivers with relations for symmetrizable Cartan matrices V. Caldero-Chapoton formula
Christof Geiß, Bernard Leclerc, Jan Schröer
We generalize the Caldero-Chapoton formula for cluster algebras of finite type to the skew-symmetrizable case. This is done by replacing representation categories of Dynkin quivers…
math.RT2017★ 13 cited
Quivers with relations for symmetrizable Cartan matrices IV: Crystal graphs and semicanonical functions
Christof Geiß, Bernard Leclerc, Jan Schröer
We generalize Lusztig's nilpotent varieties, and Kashiwara and Saito's geometric construction of crystal graphs from the symmetric to the symmetrizable case. We also construct semi…