Geometry in the indecomposable modules of a hereditary algebra

TL;DR

This paper employs differential tensor algebra theory to explicitly construct representations of extended Dynkin quivers, advancing understanding of module geometry in hereditary algebras.

Contribution

It introduces a novel application of differential tensor algebras to explicitly realize modules of extended Dynkin quivers.

Findings

Explicit module representations for extended Dynkin quivers

Enhanced geometric understanding of indecomposable modules

New methods connecting tensor algebra theory with quiver representations

Abstract

We use the theory of differential tensor algebras and their modules to produce explicit representations of extended Dynkin quivers.