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Introduction to vertex operator algebras and their representations

By: Lepowsky, J.
Contributor(s): Li, Haisheng.
Material type: materialTypeLabelBookSeries: Progress in Mathematics ; v227.Publisher: Boston : Birkhauser, 2004Description: xi, 318 p. ; ill. , 24 cm.ISBN: 9780817634087.Subject(s): Algebra | Group theory | Lattice | Representation theory | Ring theory | Vertex operator | Formal calculus | Axiomatic basicsDDC classification: 512 Summary: The deep and relatively new field of vertex operator algebras is intimately related to a variety of areas in mathematics and physics: for example, the concepts of "monstrous moonshine," infinite-dimensional Lie theory, string theory, and conformal field theory. This book introduces the reader to the fundamental theory of vertex operator algebras and its basic techniques and examples. Beginning with a detailed presentation of the theoretical foundations and proceeding to a range of applications, the text includes a number of new, original results and also highlights and brings fresh perspective to important works of many researchers.
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Includes bibliographical references and index.

The deep and relatively new field of vertex operator algebras is intimately related to a variety of areas in mathematics and physics: for example, the concepts of "monstrous moonshine," infinite-dimensional Lie theory, string theory, and conformal field theory. This book introduces the reader to the fundamental theory of vertex operator algebras and its basic techniques and examples. Beginning with a detailed presentation of the theoretical foundations and proceeding to a range of applications, the text includes a number of new, original results and also highlights and brings fresh perspective to important works of many researchers.

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