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representations of graphs

Proceedings of the Edinburgh Mathematical Society (1)

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Kac's Theorem for equipped graphs and for maximal rank representations
Part of
- Representation theory of rings and algebras
William Crawley-Boevey
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 56 / Issue 2 / June 2013

Published online by Cambridge University Press:

17 April 2013, pp. 443-447
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We give two generalizations of Kac's Theorem on representations of quivers. One is to representations of equipped graphs by relations, in the sense of Gelfand and Ponomarev. The other is to representations of quivers in which certain of the linear maps are required to have maximal rank.