Giovanni Cerulli Irelli

collaborators

4 papers

math.RT2026

Extremality of principal quiver Grassmannians

Giovanni Cerulli Irelli, Evgeny Feigin, Markus Reineke

We study families of quiver Grassmannians, parametrizing subrepresentations of representations of Dyn\-kin quivers, which are naturally associated to a projective and an injective…

math.RT2026

A categorification of Kauffman states for planar graphs

Giovanni Cerulli Irelli, Domenico Fiorenza, Eugenio Landi +1

Given a decorated planar graph $(G, I ¨ )$ , where $G$ is a planar graph and $I ¨ \in H^{1} (∣ Q G ∣, Z)$ with $Q G$ the directed medial graph of $G$ , we call some a…

math.RT2026

Polynomial identities for quivers via incidence algebras

Allan Berele, Giovanni Cerulli Irelli, Javier De Loera ChÃ¡vez +1

We show that the path algebra of a quiver satisfies the same polynomial identities of an algebra of matrices, if any. In particular, the algebra of nxn matrices is PI-equivalent to…

math.RT2025

Quivers with Polynomial Identities

Giovanni Cerulli Irelli, Javier De Loera ChÃ¡vez, Elena Pascucci

We provide a topological characterization of quivers whose path algebra satisfies a polynomial identity. This class includes the oriented cycle and acyclic quivers and, in the latt…