3 papers
math.RT2026
Auslander-Reiten combinatorics and -characters of representations of affine quantum groups
Ãlie Casbi, Jian-Rong Li
For each simple Lie algebra of simply-laced type, Hernandez and Leclerc introduced a certain category of finite-dimensional representation…
math.RT2026
A higher homological approach to the -characters of representations of quantum affine algebras
Ãlie Casbi
For any acyclic quiver without multiple edges, we construct a monoidal category whose indecomposable objects are tensor products (over the base field) of finite…
math.RT2026
Triangulated monoidal categorifications of finite type cluster algebras
Ãlie Casbi
We propose a framework of monoidal categorification of finite type cluster algebras involving triangulated monoidal categories. Namely, given a Dynkin quiver , we consider the b…