Generic Representations of Wild Quivers

作者:Ringel, Claus Michael*
来源:International Mathematics Research Notices, 2015, 2015(19): 9727-9735.
DOI:10.1093/imrn/rnu224

摘要

Let Delta be a wild connected directed quiver. We show that any generic representation M is the union of its subrepresentations of finite length that 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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