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Introduction to Vertex Operator Algebras and Their Representations

Introduction to Vertex Operator Algebras and Their Representations

Hardcover

Series: Progress in Mathematics, Book 227

AlgebraGeneral Mathematics

ISBN10: 0817634088
ISBN13: 9780817634087
Publisher: Springer Nature
Published: Dec 19 2003
Pages: 318
Weight: 1.32
Height: 0.80 Width: 6.02 Depth: 9.46
Language: English

The field of vertex operator algebras is an active area of research and plays an integral role in infinite-dimensional Lie theory, string theory, and conformal field theory, and other subdisciplines of mathematics and physics. This book begins with a careful presentation of the theoretical foundations of vertex operator algebras and their modules, and then proceeds to a range of applications. The text features new, original results and a fresh perspective on the important works of many researchers; in particular, it provides a detailed treatment of the concept of a representation'' of a vertex (operator) algebra. Requiring only a familiarity with basic algebra, this broad, self-contained treatment of the core topics in vertex algebras will appeal to graduate students and researchers in both mathematics and physics.

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