Hostname: page-component-848d4c4894-75dct Total loading time: 0 Render date: 2024-05-31T10:04:31.773Z Has data issue: false hasContentIssue false
  • English
  • Français

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: w.crawley-boevey@leeds.ac.uk
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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