Noncommutative Geometry and Cayley-smooth Orders

By Lieven le Bruyn

Book Overview

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 tale 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.

• Format: Paperback
• Language: English
• ISBN: 0367388707
• ISBN13: 9780367388706
• Release Date: September 2019
• Publisher: CRC Press
• Length: 592 Pages
• Weight: 1.30 lbs.
• Dimensions: 1.6" x 6.1" x 9.1"