48 citations · 195 across the 17 of their papers we have counts for
23 papers
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…
A categorification of Kauffman states for planar graphs
Giovanni Cerulli Irelli, Domenico Fiorenza, Eugenio Landi +1
Given a decorated planar graph , where is a planar graph and with the directed medial graph of , we call some ang…
Polynomial identities for quivers via incidence algebras
Allan Berele, Giovanni Cerulli Irelli, Javier De Loera Chávez +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…
Quivers with Polynomial Identities
Giovanni Cerulli Irelli, Javier De Loera Chávez, 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…
Linear degenerate symplectic flag varieties: symmetric degenerations and PBW locus
Magdalena Boos, Giovanni Cerulli Irelli, Xin Fang +1
We conceptualize in the paper the linear degenerate symplectic flag varieties as symmetric degenerations within the framework of type equioriented quivers. First, in the larger…
Specialization map for quiver Grassmannians
Giovanni Cerulli Irelli, Francesco Esposito, Xin Fang +1
We define a specialization map between cohomology algebras of quiver Grassmannians of Dynkin type and we prove that it is surjective in type A. This generalizes a result of Lanini…