Transactions of the American Mathematical Society

			Journals Home Search Author Info Subscribe Tech Support My Subscriptions Help
ISSN 1088-6850(e) ISSN 0002-9947(p)

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

Author(s): William Crawley-Boevey
Journal: Trans. Amer. Math. Soc. 348 (1996), 1909-1919.
MSC (1991): Primary 16G20; Secondary 14M15
MathSciNet review: 1348149
Retrieve article in: PDF
This article is available free of charge

Abstract | References | Similar articles | Additional information

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:

[B]: N. Bourbaki, Algèbre Commutative, Hermann, Paris, 1961--83.
[DG]: M. Demazure and P. Gabriel, Groupes Algébriques, Tome 1, Masson, Paris, 1970. MR 46:1800
[E]: D. Eisenbud, Commutative algebra with a view toward algebraic geometry, Graduate Texts in Math. 150, Springer-Verlag, New York, 1995. CMP 95:10
[P]: C. Procesi, Rings with polynomial identities, Marcel Dekker, New York, 1973. MR 51:3214
[S1]: A. Schofield, Representations of rings over skew fields, London Math. Soc. Lec. Note Ser. 92, Cambridge Univ. Press, 1985. MR 87c:16001
[S2]: A. Schofield, General representations of quivers, Proc. London Math. Soc. 65 (1992), 46--64. MR 93d:16014

	Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
\|