Solution to the Clebsch-Gordan problem for string algebras
Representation Theory
2009-05-05 v2
Abstract
The category of modules over a string algebra is equipped with a tensor product defined point-wise and arrow-wise in terms of the underlying quiver. In the present article we investigate how this tensor product interacts with the classification of indecomposables. We apply the results obtained to solve the Clebsch-Gordan problem for string algebras. Moreover, we describe the corresponding representation ring and tensor ideals in the module category.
Cite
@article{arxiv.0902.2050,
title = {Solution to the Clebsch-Gordan problem for string algebras},
author = {Martin Herschend},
journal= {arXiv preprint arXiv:0902.2050},
year = {2009}
}
Comments
20 pages, minor corrections