CBMS Regional Conference Series in Mathematics 1999; 120 pp; softcover Number: 94 ISBN10: 0821809792 ISBN13: 9780821809792 List Price: US$25 Member Price: US$20 All Individuals: US$20 Order Code: CBMS/94
 This volume is based on lectures on division algebras given at a conference held at Colorado State University. Although division algebras are a very classical object, this book presents this "classical" material in a new way, highlighting current approaches and new theorems, and illuminating the connections with a variety of areas in mathematics. Readership Graduate students and research mathematicians working in algebra, especially in theory of fields. Reviews "A useful survey of the present state of the subject, going well beyond most other texts in this field."  Zentralblatt MATH Table of Contents  Introduction
 A division algebra is a central simple algebra
 Azumaya algebras at the generic point
 The Brauer group
 Form of matrices
 Torsion question
 Galois extensions
 Crossed products and cohomology
 Corestriction
 Orders and regular domains
 Ramification
 Specialization and lifting
 Lattice methods
 Brauer Severi varieties
 Generic division algebra
 Bibliography
