Vector algebras, algebraic objects that contain the concept of operator product expansion into two-dimensional conformal field theory, have become significant in many areas of mathematics research, including topology, combinatorics, and modular functions. In this second edition of their graduate text, the authors introduce the theory of vector algebras with particular emphasis on the geometry of algebraic curves. The thematic flow they use leads to geometric interpretations of various questions of representation theory. They include bibliographic notes with each chapter as well as a formal bibliography and a list of frequently used notation. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com)