Infinite-Dimensional Lie Algebras (3 Revised edition)

This is the third, substantially revised edition of this important monograph.

The book is concerned with Kac-Moody algebras, a particular class of infinite-dimensional Lie algebras, and their representations.

It is based on courses given over a number of years at MIT and in Paris, and is sufficiently self-contained and detailed to be used for graduate courses.

Each chapter begins with a motivating discussion and ends with a collection of exercises, with hints to the more challenging problems.