Representations of quivers and mixed graphs
Representation Theory
2013-12-31 v1
Abstract
This is a survey article for "Handbook of Linear Algebra", 2nd ed., Chapman & Hall/CRC, 2014. An informal introduction to representations of quivers and finite dimensional algebras from a linear algebraist's point of view is given. The notion of quiver representations is extended to representations of mixed graphs, which permits one to study systems of linear mappings and bilinear or sesquilinear forms. The problem of classifying such systems is reduced to the problem of classifying systems of linear mappings.
Cite
@article{arxiv.1312.7719,
title = {Representations of quivers and mixed graphs},
author = {Roger A. Horn and Vladimir V. Sergeichuk},
journal= {arXiv preprint arXiv:1312.7719},
year = {2013}
}