Representation Theory and Noncommutative Harmonic Analysis I: Fundamental Concepts. Representations of Virasoro and Affine Algebras (Encyclopaedia of Mathematical Sciences #22) (Paperback)

Representation Theory and Noncommutative Harmonic Analysis I: Fundamental Concepts. Representations of Virasoro and Affine Algebras (Encyclopaedia of Mathematical Sciences #22) Cover Image
By A. a. Kirillov (Editor), A. a. Kirillov (Contribution by), Vladimir Soucek (Translator)
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Description


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.
Product Details
ISBN: 9783642057403
ISBN-10: 3642057403
Publisher: Springer
Publication Date: December 6th, 2010
Pages: 236
Language: English
Series: Encyclopaedia of Mathematical Sciences