Noncommutative Geometry and Cayley-smooth Orders

1st Edition

Lieven Le Bruyn

Chapman and Hall/CRC
Published August 24, 2007
Reference - 592 Pages - 75 B/W Illustrations
ISBN 9781420064223 - CAT# C6422
Series: Chapman & Hall/CRC Pure and Applied Mathematics

For Instructors Request Inspection Copy

was $145.00

USD$116.00

SAVE ~$29.00

Add to Wish List
FREE Standard Shipping!

Summary

Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. In particular, the book describes the étale local structure of such orders as well as their central singularities and finite dimensional representations.

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 explain the étale local structure of a Cayley-smooth order in a semisimple representation, classify the associated central singularity to smooth equivalence, describe the nullcone of these marked quiver representations, and relate them to the study of all isomorphism classes of n-dimensional representations of a Cayley-smooth order. The final chapters study Quillen-smooth algebras via their finite dimensional representations.

Noncommutative Geometry and Cayley-smooth Orders provides a gentle introduction to one of mathematics' and physics' hottest topics.

Instructors

We provide complimentary e-inspection copies of primary textbooks to instructors considering our books for course adoption.

Request an
e-inspection copy

Share this Title