D. Bissinger

activity

20162024

collaborators

6 papers

math.RT2024

Representations of Kronecker quivers and Steiner bundles on Grassmannians

Daniel Bissinger, Rolf Farnsteiner

Let $k$ be an algebraically closed field. Connections between representations of the generalized Kronecker quivers $K_{r}$ and vector bundles on $P^{r - 1}$ have been…

math.RT2024

Shift orbits for elementary representations of Kronecker quivers

Daniel Bissinger

Let $r \in N_{\geq 3}$ . We denote by $K_{r}$ the wild $r$ -Kronecker quiver with $r$ arrows $γ_{i} : 1 \to 2$ and consider the action of the group $G_r \subseteq \mathrm{A…

math.RT2020

Dimension vectors with the equal kernels property

Daniel Bissinger

Let $r \in N$ , $Γ_{r}$ be the generalized Kronecker quiver with $r$ arrows $γ_{1}, \dots, γ_{r} : 1 \to 2$ and $δ \in Δ_{+} (Γ_{r})$ be a positive root of $Γ_{r}$ . We say that $δ$ ha…

math.RT2019

Indecomposable Jordan types of Loewy length $2$

Daniel Bissinger

Let $k$ be an algebraically closed field, $c ha r (k) = p \geq 2$ and $E_{r}$ be a $p$ -elementary abelian group of rank $r \geq 2$ . Let $(c, d) \in N^{2}$ . We show that t…

math.RT2017

Representations of regular trees and invariants of AR-components for generalized Kronecker quivers

Daniel Bissinger

We investigate the generalized Kronecker algebra $K_{r} = k Γ_{r}$ with $r \geq 3$ arrows. Given a regular component $C$ of the Auslander-Reiten quiver of $\mathcal{…

math.RT2016

Representations of constant socle rank for the Kronecker algebra

Daniel Bissinger

Inspired by recent work of Carlson, Friedlander and Pevtsova concerning modules for $p$ -elementary abelian groups $E_{r}$ of rank $r$ over a field of characteristic $p > 0$ , we intro…

Representations of Kronecker quivers and Steiner bundles on Grassmannians

Shift orbits for elementary representations of Kronecker quivers

Dimension vectors with the equal kernels property

Indecomposable Jordan types of Loewy length 2

Representations of regular trees and invariants of AR-components for generalized Kronecker quivers

Representations of constant socle rank for the Kronecker algebra

Indecomposable Jordan types of Loewy length $2$