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Generic representations of wild quivers

2013/07/20 by Claus Michael Ringel, Ringel, Claus Michael
Mathematics · #FOS: Mathematics #Representation Theory (math.RT) #math.RT

paper · pdf · doi:10.48550/arxiv.1307.5400

arxiv created 2013/07/20 · arxiv updated 2013/07/23

Abstract

We show that any generic representation of a wild connected directed quiver is the union of its subrepresentations of finite length which are regular. As a consequence, we see that the direct limit closure of the preprojective component does not contain any generic module.

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