Introduction to Vertex Operator Algebras and Their Representations (Progress in Mathematics)

Description:

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.

subjects: Operator theory,  Algebra,  Mathematics,  Topological Groups,  Associative Rings and Algebras,  Lie Groups Topological Groups,  Mathematical and Computational Physics Theoretical,  Representations of algebras,  Operator algebras,  Vertex operator algebras