D. Bissinger

activity

20172020

collaborators

3 papers

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{…

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

Indecomposable Jordan types of Loewy length $2$