On the recursive construction of indecomposable quiver representations
Abstract
For a fixed root of a quiver, it is a very hard problem to construct all or even only one indecomposable representation with this root as dimension vector. We investigate two methods which can be used for this purpose. In both cases we get an embedding of the category of representations of a new quiver into the category of representations of the original one which increases dimension vectors. Thus it can be used to construct indecomposable representations of the original quiver recursively. Actually, it turns out that there is a huge class of representations which can be constructed using these methods.
 Publication:

arXiv eprints
 Pub Date:
 October 2013
 arXiv:
 arXiv:1310.2757
 Bibcode:
 2013arXiv1310.2757W
 Keywords:

 Mathematics  Representation Theory;
 16G20
 EPrint:
 20 pages, final version