A new approach to simple modules for preprojective algebras
Representation Theory
2018-03-28 v1
Abstract
The work of the first author on the moment map for representations of quivers included a classification of the possible dimension vectors of simple modules for deformed preprojective algebras. That classification was later used to solve an additive analogue of the Deligne-Simpson problem. The last step in the proof of the classification involved some general position arguments; here we give a new approach which avoids such arguments.
Cite
@article{arxiv.1803.09482,
title = {A new approach to simple modules for preprojective algebras},
author = {William Crawley-Boevey and Andrew Hubery},
journal= {arXiv preprint arXiv:1803.09482},
year = {2018}
}