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Kac's Theorem for equipped graphs and for maximal rank representations

Part of: Representation theory of rings and algebras

Published online by Cambridge University Press:  17 April 2013

William Crawley-Boevey
William Crawley-Boevey*
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, UK ([email protected])
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Abstract

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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.

Keywords

representations of quiversrepresentations of graphsKac's Theorem

MSC classification

Secondary: 16G20: Representations of quivers and partially ordered sets
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 56 , Issue 2 , June 2013 , pp. 443 - 447
Copyright
Copyright © Edinburgh Mathematical Society 2013

References

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