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

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

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

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

James Lepowsky t The search for symmetry in nature has for a long time provided representation theory with perhaps its chief motivation. According to the standa