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Cristof Geiss, Lieven LeBruyn, and Markus Reineke. Introduction to moduli spaces associated to quivers (with an appendix by Lieven Le Bruyn and Markus Reineke. Contemporary Mathematics, 406:31–50, 2006.
A. King introduced for representation theorists the concept of moduli spaces for representations of quivers. We try to give an as elementary as possible introduction to this material. Our running example is however a problem from systems theory which was studied among others by A. Tannenbaum. Quite a lot can be achieved here elementarily since it is possible to "guess" normal forms. The normal forms we use are different from the classical ones and seem to be new. This is used in the appendix in order to construct an open subset of an infinite Grassmanian.
@article{LeBruyn2006b,
author={Cristof Geiss and LeBruyn, Lieven and Markus Reineke},
title={Introduction to moduli spaces associated to quivers (with an appendix by Lieven Le Bruyn and Markus Reineke},
year={2006},
journal={Contemporary Mathematics},
volume={406},
pages={31--50},
bib2html_pubtype ={Papers},
bib2html_rescat ={Representation Theory},
abstract={A. King introduced for representation theorists the concept of moduli spaces for
representations of quivers. We try to give an as elementary as possible introduction to this
material. Our running example is however a problem from systems theory which was studied among others by A. Tannenbaum.
Quite a lot can be achieved here elementarily since it is possible to "guess" normal forms.
The normal forms we use are different from the classical ones and seem to be new.
This is used in the appendix in order to construct an open subset of an infinite Grassmanian.}
}
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