6 papers · 1 filter
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 a…
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…
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…
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…