Part I of this book is a short review of the classical part of
representation theory. The main chapters of representation theory
are discussed: representations of finite and compact groups,
finite- and infinite-dimensional representations of Lie groups. It
is a typical feature of this survey that the structure of the
theory is carefully exposed - the reader can easily see the essence
of the theory without being overwhelmed by details. The final
chapter is devoted to the method of orbits for different types of
groups. Part II deals with representation of Virasoro and Kac-Moody
algebra. The second part of the book deals with representations of
Virasoro and Kac-Moody algebra. The wealth of recent results on
representations of infinite-dimensional groups is presented.
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