On homomorphisms from a fixed representation to a general representation of a quiver
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- by William Crawley-Boevey PDF
- Trans. Amer. Math. Soc. 348 (1996), 1909-1919 Request permission
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.References
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Additional Information
- William Crawley-Boevey
- Affiliation: Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, England
- MR Author ID: 230720
- Email: w.crawley-boevey@leeds.ac.uk
- Received by editor(s): July 21, 1995
- © Copyright 1996 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 348 (1996), 1909-1919
- MSC (1991): Primary 16G20; Secondary 14M15
- DOI: https://doi.org/10.1090/S0002-9947-96-01586-3
- MathSciNet review: 1348149