Representations of Vertex Algebras and, the Construction of Vertex Algebras and, Modules

  • James Lepowsky
  • Haisheng Li
Part of the Progress in Mathematics book series (PM, volume 227)


In this chapter, the focal chapter of the work, we shall define and, study the notion of representation of a vertex algebra. Just as in classical algebraic theories, in particular, the theories of Lie algebras and, of associative algebras, this notion of representation is distinct from the notion of module, but the two notions will turn out to be essentially equivalent.


Vertex Operator Vertex Operator Algebra Vertex Algebra Virasoro Algebra Local Subspace 
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Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • James Lepowsky
    • 1
  • Haisheng Li
    • 2
  1. 1.Department of MathematicsRutgers UniversityPiscatawayUSA
  2. 2.Department of MathematicsRutgers UniversityCamdenUSA

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