Tree modules

Abstract

After stating several tools which can be used to construct indecomposable tree modules for quivers without oriented cycles, we use these methods to construct indecomposable tree modules for every imaginary Schur root. These methods also give a recipe for the construction of tree modules for every root. Moreover, we give several examples illustrating the results.

Typos corrected; references added; deleted former Lemma 3.13 which is not needed

Cited by in corpus (3)

• Schubert decompositions for quiver Grassmannians of tree modules
• Representation type via Euler characteristics and singularities of quiver Grassmannians
• On the recursive construction of indecomposable quiver representations