Tree modules

Mathematics – Representation Theory

Scientific paper

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

Scientific paper

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.

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