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Decomposition of Marsden–Weinstein Reductions for Representations of Quivers

Published online by Cambridge University Press:  04 December 2007

William Crawley-Boevey
William Crawley-Boevey
Affiliation:
Department of Pure Mathematics, University of Leeds, Leeds LS2 9JT, U.K. E-mail: [email protected]
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Abstract

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We decompose the Marsden–Weinstein reductions for the moment map associated to representations of a quiver. The decomposition involves symmetric products of deformations of Kleinian singularities, as well as other terms. As a corollary we deduce that the Marsden–Weinstein reductions are irreducible varieties.

Keywords

quiver representationmoment mapMarsden–Weinstein reductionsymplectic reductionKleinian singularity
Type
Research Article
Information
Compositio Mathematica , Volume 130 , Issue 2 , January 2002 , pp. 225 - 239
Copyright
© 2002 Kluwer Academic Publishers