ABSTRACT

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 etale local structure of such orders as well as their central singularities and finite dimensional representations.

After an introduction to partial d

chapter 1|54 pages

Cayley-Hamilton Algebras

chapter 2|54 pages

Reconstructing Algebras

chapter 3|54 pages

Etale Technology

chapter 4|78 pages

Quiver Technology

chapter 5|74 pages

Semisimple Representations

chapter 6|62 pages

Nilpotent Representations

chapter 7|74 pages

Noncommutative Manifolds

chapter 8|54 pages

Moduli Spaces