This volume of the Encyclopaedia contains both an introduction to representation theory and a survey of some advanced topics concerning representations of Virasoro and affine algebras. All this material is important for mathematicians and theoretical physicists, and graduate students and researchers in these fields will benefit from using this book.
This two-part survey provides a short review of the classical part of representation theory, carefully exposing the structure of the theory without overwhelming readers with details, and deals with representations of Virasoro and Kac-Moody algebra. It presents a wealth of recent results on representations of infinite-dimensional groups.