NeverEndingBooks.org is a non-profit publishing house, specializing in books on non-commutative algebra and non-commutative geometry. Our authors have a set of notes, which they hope to turn into a proper book one fine day, and publish elsewhere. Meanwhile, we produce a good-looking edition, distributed worldwide. We keep the costs of our books minimal , the royalties and copy-rights for our authors maximal.
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Print: $13.97 noncommutative geometry@n – 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.
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Print: $12.98 noncommutative geometry@n – 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.
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