3 papers
math.QA2026
Two remarks on decomposition numbers of standard modules for quantum affine
Xin Fang, Deniz Kus, Markus Reineke
We use Nakajima's geometric approach to representations of quantum affine algebras and recent results on explicit descriptions of specific canonical basis elements, to derive close…
math.SG2025
Floer potentials, cluster algebras and quiver representations
Peter Albers, Maria Bertozzi, Markus Reineke
We use cluster algebras to interpret Floer potentials of monotone Lagrangian tori in toric del Pezzo surfaces as cluster characters of quiver representations.
math.RT2024
A piecewise-linear formula for rigid representations of Dynkin quivers
Deniz Kus, Markus Reineke
We derive a piecewise-linear formula for the rigid representation of a Dynkin quiver of a given dimension vector, and illustrate the formula in several examples.