English

Tree modules

Representation Theory 2014-02-26 v3

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.

Keywords

Cite

@article{arxiv.1011.1203,
  title  = {Tree modules},
  author = {Thorsten Weist},
  journal= {arXiv preprint arXiv:1011.1203},
  year   = {2014}
}

Comments

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

R2 v1 2026-06-21T16:39:07.083Z