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Lieven LeBruyn. noncommutative geometry@n, volume 2 : the trade, neverendingbooks, 2005.
noncommutative geometry@n Ð the trade contains applications to the material developed in volume 1 - the tools to moduli spaces, quiver varieties and singularities. It details the representation theory of Cayley-smooth and Quillen-smooth algebras by studying the geometry of the quotient varieties and relating the Hesselink stratification of their nullcones to moduli spaces of quiver-representations. Further, it explains by examples the theory of noncommutative differential forms leading to the application of the necklace Lie algebra to coadjoint orbit results.This is a two-year old preliminary version. An extended, updated and corrected version will appear in the fall of 2007 with Chapman&Hall. Use this version only for private use.
@book{LeBruyn2005c,
author={LeBruyn, Lieven},
title={noncommutative geometry@n, volume 2 : the trade},
abstract={noncommutative geometry@n Ð the trade contains applications to the material developed
in volume 1 - the tools to moduli spaces, quiver varieties and singularities. It details the
representation theory of Cayley-smooth and Quillen-smooth algebras by studying the geometry
of the quotient varieties and relating the Hesselink stratification of their nullcones to moduli
spaces of quiver-representations. Further, it explains by examples the theory of
noncommutative differential forms leading to the application of the necklace Lie algebra to
coadjoint orbit results.
This is a two-year old preliminary version. An extended, updated and corrected version will
appear in the fall of 2007 with Chapman&Hall. Use this version only for private use.},
publisher={neverendingbooks},
year={2005},
bib2html_pubtype ={Books},
bib2html_rescat ={Noncommutative Geometry},
bib2html_dl_html={http://www.lulu.com/content/144003},
language={English}
}
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