3 papers
math.RT2026
A categorification of combinatorial Auslander-Reiten quivers
Ricardo Canesin
We provide a categorification of Oh and Suh's combinatorial Auslander-Reiten quivers in the simply laced case. We work within the perfectly valued derived category $\mathrm{pvd}(Î…
math.RT2026
Additive categorification of the monoidal -invariant
Ricardo Canesin, Peigen Cao, Geoffrey Janssens
In this paper, we contribute to the broad aim of relating invariants of additive and monoidal categorifications of cluster algebras. Specifically, in the setting of representations…
math.RT2026
Categories of split filtrations and graded quiver varieties
Ricardo Canesin
By the work of Hernandez-Leclerc, Leclerc-Plamondon, and Keller-Scherotzke, affine graded Nakajima quiver varieties associated with a Dynkin quiver admit an algebraic descripti…