Noncommutative Geometry and Cayley-smooth Orders (Hardcover) (ISBN-13: 9781420064223)

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 étale 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.

Author: Lieven Le Bruyn
ISBN-10: 1420064223
ISBN-13: 9781420064223
Publisher: CRC Press
Language: English
Published: 09/01/2007
Pages: 588
Format: Hardcover
Weight: 2.45lbs
Size: 9.31h x 6.49w x 1.49d

Review Citation(s):
Scitech Book News 12/01/2007 pg. 38