English

On degenerations between preprojective modules over wild quivers

Representation Theory 2007-05-23 v2

Abstract

We study minimal degenerations between preprojective modules over wild quivers. Asymptotic properties of such degenerations are studied, with respect to codimension and numbers of indecomposable direct summands. We provide families of minimal disjoint degenerations of arbitrary codimension for almost all wild quivers and show that no such examples exist in the remaining cases.

Keywords

Cite

@article{arxiv.math/0509072,
  title  = {On degenerations between preprojective modules over wild quivers},
  author = {Roland Olbricht},
  journal= {arXiv preprint arXiv:math/0509072},
  year   = {2007}
}

Comments

Proofs improved, several typos corrected. To appear in Journal of Algebra