REPRESENTATION THEORY AND NONCOMMUTATIVE HARMONIC ANALYSIS I

Le Monde En Tique

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Ouvrage 9783540186984 : REPRESENTATION THEORY AND NONCOMMUTATIVE HARMONIC ANALYSIS I
Fundamental Concepts. Representations of Virasoro and Affine Algebras 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.
Keywords: Representation Theory, Non-Commuatitve Harmonic Analysis,
String Theory, Conformal Quantum Field Theory
Fields: Topological Groups,Lie-Groups,Lie-Algebras; Mathematical Physics;
Statistical Physics
Written for: Graduate students in mathematics and theoretical physics
Table of Contents
Contents: Contents: Introduction to the Theory of Representations and Noncommutative
Harmonic Analysis by A.A. Kirillov; Representations of Virasoro and Affine Lie Algebras
by Yu.A. Neretin.

Auteur : KIRILLOV
Editeur : SPRINGER VERLAG
Nombre de pages : 234
Date de publication : 10 1994

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