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On Axiomatic Approaches to Vertex Operator Algebras and Modules

On Axiomatic Approaches to Vertex Operator Algebras and Modules

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The notion of vertex operator algebra arises naturally in the vertex operator construction of the Monster - the largest sporadic finite simple group. This self-contained monograph develops the basic axiomatic theory of vertex operator algebras and their modules and intertwining operators, following a fundamental analogy with Lie algebra theory.