A New Approach to Simple Modules for Preprojective Algebras

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 s...

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Veröffentlicht in:Algebras and representation theory 2020-08, Vol.23 (4), p.1849-1860
Hauptverfasser: Crawley-Boevey, William, Hubery, Andrew
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-019-09916-1