English

Tree modules of the generalized Kronecker quiver

Representation Theory 2009-01-14 v1

Abstract

For coprime dimension vectors certain torus fixed points of the Kronecker moduli space are indecomposable tree modules. They are indecomposable representations of the regular m-tree and can be glued in order to get stable torus fixed point for every coprime dimension vector. Using their stability and the reflection functor we show that for arbitrary roots there exist indecomposable tree modules of the Kronecker quiver as factor modules of these torus fixed points.

Keywords

Cite

@article{arxiv.0901.1780,
  title  = {Tree modules of the generalized Kronecker quiver},
  author = {Thorsten Weist},
  journal= {arXiv preprint arXiv:0901.1780},
  year   = {2009}
}

Comments

39 pages

R2 v1 2026-06-21T12:00:14.060Z