Dimension vectors in regular components over wild Kronecker quivers
Representation Theory
2012-09-05 v1
Abstract
Let be the so-called wild Kronecker quiver, i.e., a quiver with one source and one sink and arrows from the source to the sink. The following problems will be studied for an arbitrary regular component of the Auslander-Reiten quiver: (1) What is the relationship between dimension vectors and quasi-lengths of the indecomposable regular representations in ? (2) For a given natural number , is there an upper bound of the number of indecomposable representations in with the same length ? (3) When do the sets of the dimension vectors of indecomposable representations in different regular components coincide?
Cite
@article{arxiv.1209.0612,
title = {Dimension vectors in regular components over wild Kronecker quivers},
author = {Bo Chen},
journal= {arXiv preprint arXiv:1209.0612},
year = {2012}
}
Comments
19 pages