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) 6374]. In this paper we prove these conjectures. The main tool in the proof is the etale local description due to W. CrawleyBoevey [math. AG/0105247]. Along the way we determine the smooth locus of the MarsdenWeinstein 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 



00218693
 
Volume/pages 



258:1(2002), p. 6070
 
ISI 



000179972900003
 
Full text (Publisher's DOI) 


  
Full text (open access) 


  
