Loop Groups

by Andrew Pressley, Graeme Segal

Loop groups, the simplest class of infinite dimensional Lie groups, have recently been the subject of intense study. This book gives a complete and self-contained account of what is known about them from a geometrical and analytical point of view, drawing together the many branches of
mathematics from which current theory developed--algebra, geometry, analysis, combinatorics, and the mathematics of quantum field theory. The authors discuss Loop groups' applications to simple particle physics and explain how the mathematics used in connection with Loop groups is itself
interesting and valuable, thereby making this work accessible to mathematicians in many fields.

326 pages, Hardcover

First published December 18, 1986