1st Edition

Noncommutative Geometry and Cayley-smooth Orders

By Lieven Le Bruyn Copyright 2007
592 Pages
by Chapman & Hall

588 Pages
by Chapman & Hall

592 Pages
by Chapman & Hall

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

Biography

Le Bruyn, Lieven