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.
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Buchbeschreibung Springer-Verlag Gmbh Nov 1994, 1994. Buch. Buchzustand: Neu. 241x159x20 mm. Neuware - 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 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 representations of Virasoro and Kac-Moody algebra. The wealth of recent results on representations of infinte-dimensional groups is presented. 220 pp. Englisch. Artikel-Nr. 9783540186984