Lepowsky, J.

Introduction to vertex operator algebras and their representations - Boston : Birkhauser, 2004 - xi, 318 p. ; ill. , 24 cm - Progress in Mathematics ; v227 .

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.

9780817634087 hbk


Algebra
Group theory
Lattice
Representation theory
Ring theory
Vertex operator
Formal calculus
Axiomatic basics

512 / LEO

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