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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On homomorphisms from a fixed representation to a general representation of a quiver


Author: William Crawley-Boevey
Journal: Trans. Amer. Math. Soc. 348 (1996), 1909-1919
MSC (1991): Primary 16G20; Secondary 14M15
MathSciNet review: 1348149
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Abstract: We study the dimension of the space of homomorphisms from a given representation $X$ of a quiver to a general representation of dimension vector $\beta$. We prove a theorem about this number, and derive two corollaries concerning its asymptotic behaviour as $\beta$ increases. These results are related to work of A. Schofield on homological epimorphisms from the path algebra to a simple artinian ring.


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Additional Information

William Crawley-Boevey
Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England
Email: w.crawley-boevey@leeds.ac.uk

DOI: http://dx.doi.org/10.1090/S0002-9947-96-01586-3
PII: S 0002-9947(96)01586-3
Received by editor(s): July 21, 1995
Article copyright: © Copyright 1996 American Mathematical Society