Publication
Title
Noncommutative smoothness and coadjoint orbits
Author
Abstract
In [math.AG/0010030; Math. Z., to appear] R. Bocklandt and the author proved that certain quotient varieties of representations of deformed preprojective algebras are coadjoint orbits for the necklace Lie algebra n(Q) of the corresponding quiver (Q) over right arrow. A conjectural ring.-theoretical explanation of these results was given in terms of noncommutative smoothness in the sense of C. Procesi [J. Algebra 107 (1987) 63-74]. In this paper we prove these conjectures. The main tool in the proof is the etale local description due to W. Crawley-Boevey [math. AG/0105247]. Along the way we determine the smooth locus of the Marsden-Weinstein reductions for quiver representations. (C) 2002 Elsevier Science (USA). All rights reserved.
Language
English
Source (journal)
Journal of algebra. - New York, N.Y.
Publication
New York, N.Y. : 2002
ISSN
0021-8693
Volume/pages
258:1(2002), p. 60-70
ISI
000179972900003
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 26.07.2017
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