12 citations · 57 across the 14 of their papers we have counts for
14 papers · 1 filter
Tree normal forms for quiver representations
Ryan Kinser, Thorsten Weist
We explore methods for constructing normal forms of indecomposable quiver representations. The first part of the paper develops homological tools for recursively constructing famil…
Cell Decompositions for Rank Two Quiver Grassmannians
Dylan Rupel, Thorsten Weist
We prove that all quiver Grassmannians for exceptional representations of a generalized Kronecker quiver admit a cell decomposition. In the process, we introduce a class of regular…
Representation type via Euler characteristics and singularities of quiver Grassmannians
Oliver Lorscheid, Thorsten Weist
In this text, we characterize the representation type of an acyclic quiver by the properties of its associated quiver Grassmannians. This characterization utilizes and extends know…
The Value of the Kac Polynomial at One
Hans Franzen, Thorsten Weist
We establish a formula for the value of the Kac polynomial at one in terms of Kac polynomials, evaluated at one, of the universal (abelian) covering quiver by applying torus locali…
Plücker relations for quiver Grassmannians
Oliver Lorscheid, Thorsten Weist
In this text, we exhibit the quiver Plücker relations for a quiver Grassmannian and show that they describe the quiver Grassmannian as a closed subscheme of a product of usual Gras…
Non-Schurian indecomposables via intersection theory
Hans Franzen, Thorsten Weist
For an acyclic quiver with three vertices, we consider the canonical decomposition of a non-Schurian root and associate certain representations of a generalized Kronecker quiver. T…