The basic definitions and properties of vertex operator algebras, modules, intertwining operators and related concepts are presented, following a fundamental an

This work is motivated by and develops connections between several branches of mathematics and physics--the theories of Lie algebras, finite groups and modular

Vertex algebras are algebraic objects that encapsulate the concept of operator product expansion from two-dimensional conformal field theory. Vertex algebras ar

The theory of vertex operator algebras is a remarkably rich new mathematical field which captures the algebraic content of conformal field theory in physics. Id

* Introduces the fundamental theory of vertex operator algebras and its basic techniques and examples. * Begins with a detailed presentation of the theoretical