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Lieven LeBruyn. noncommutative geometry@n, volume 1 : the tools, neverendingbooks, 2005.
noncommutative geometry@n Ð the tools, contains the material a starting researcher needs to enter this fascinating new topic. Motivated by examples from representation theory of algebras, it initiates the reader to as different topics as : geometric invariant theory, etale cohomology, Brauer groups and rings satisfying polynomial identities. This volume contains the geometric reconstruction result for Cayley-Hamilton algebras, due to Claudio Procesi, and the etale local classification of Cayley-smooth algebras via marked quiver-settings. The second volume will focuss on applications to moduli spaces, quiver varieties and singularities.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{LeBruyn2005d,
author={LeBruyn, Lieven},
title={noncommutative geometry@n, volume 1 : the tools},
abstract={noncommutative geometry@n Ð the tools, contains the material a starting researcher
needs to enter this fascinating new topic. Motivated by examples from representation theory
of algebras, it initiates the reader to as different topics as : geometric invariant theory,
etale cohomology, Brauer groups and rings satisfying polynomial identities.
This volume contains the geometric reconstruction result for Cayley-Hamilton algebras,
due to Claudio Procesi, and the etale local classification of Cayley-smooth algebras via
marked quiver-settings. The second volume will focuss on applications to moduli spaces,
quiver varieties and singularities.
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/137684},
language={English}
}
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