Lieven Le Bruyn

Noncommutative Geometry and Cayley-smooth Orders (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. After an introduction to partial desingularizations of commutative singularities from noncommutative algebras, the book presents the invariant theoretic description of orders and their centers. It proceeds to introduce etale topology and its use in noncommutative algebra as well as to collect the necessary material on representations of quivers. The subsequent chapters contain the main results on Cayley-smooth orders, including semisimple and nilpotent representations. The final chapters study Quillen-smooth algebras via their finite dimensional representations.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 592
• Erscheinungstermin: 24. August 2007
• Englisch
• ISBN-13: 9781420064230
• Artikelnr.: 42766021

Autorenporträt

Le Bruyn, Lieven

Inhaltsangabe

Preface. Introduction. Cayley-Hamilton Algebras. Reconstructing Algebras.
Étale Technology. Quiver Technology. Semisimple Representations. Nilpotent
Representations. Noncommutative Manifolds. Moduli Spaces. References.
Index.