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On the concepts of intertwining operator and tensor product module in vertex operator algebra theory
Yi-Zhi Huang, James Lepowsky, Haisheng Li +1
We produce counterexamples to show that in the definition of the notion of intertwining operator for modules for a vertex operator algebra, the commutator formula cannot in general…
Twisted modules for vertex operator algebras and Bernoulli polynomials
Benjamin Doyon, James Lepowsky, Antun Milas
Using general principles of the theory of vertex operator algebras and their twisted modules, we obtain a bosonic, twisted construction of a certain central extension of a Lie alge…
Vertex operator algebras and the zeta function
James Lepowsky
We announce a new type of "Jacobi identity" for vertex operator algebras, incorporating values of the Riemann zeta function at negative integers. Using this we "explain" and genera…
Application of a "Jacobi identity" for vertex operator algebras to zeta values and differential operators
James Lepowsky
We explain how to use a certain new "Jacobi identity" for vertex operator algebras, announced in a previous paper (math.QA/9909178), to interpret and generalize recent work of S. B…