On the number of stable quiver representations over finite fields

We prove a new formula for the generating function of polynomials counting absolutely stable representations of quivers over finite fields. The case of irreducible representations is studied in more detail.

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Bibliographic Details
Published in:Journal of pure and applied algebra 2009-04, Vol.213 (4), p.430-439
Main Authors: Mozgovoy, Sergey, Reineke, Markus
Format: Article
Language:English
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Description
Summary:We prove a new formula for the generating function of polynomials counting absolutely stable representations of quivers over finite fields. The case of irreducible representations is studied in more detail.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2008.07.019