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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Operator theoryAlgebraMathematicsTopological GroupsAssociative Rings and AlgebrasLie Groups Topological GroupsMathematical and Computational Physics TheoreticalRepresentations of algebrasOperator algebrasVertex operator algebras

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