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
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Sprache:	eng
Schlagworte:	Associative Rings and Algebras Classification Commutative Rings and Algebras Mathematical analysis Mathematics Mathematics and Statistics Modules Non-associative Rings and Algebras Vectors (mathematics)
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description	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.
doi_str_mv	10.1007/s10468-019-09916-1
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subjects	Associative Rings and Algebras Classification Commutative Rings and Algebras Mathematical analysis Mathematics Mathematics and Statistics Modules Non-associative Rings and Algebras Vectors (mathematics)
title	A New Approach to Simple Modules for Preprojective Algebras
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