FUSION RULES FOR EXTENDED CURRENT ALGEBRAS

Fusion Rules for the Vertex Operator Algebras M (1)

The fusion rules for the vertex operator algebras M(1)+ (of any rank) and V + L (for any positive definite even lattice L) are determined completely.

Vertex operator algebras, fusion rules and modular transformations

We discuss a recent proof by the author of a general version of the Verlinde conjecture in the framework of vertex operator algebras and the application of this result to the construction of modular tensor tensor category structure on the category of modules for a vertex operator algebra.

Sufficient Conditions for Density in Extended Lipschitz Algebras

sufficient conditions for density in extended lipschitz algebras

Fibrational Induction Rules for Initial Algebras

This paper provides an induction rule that can be used to prove properties of data structures whose types are inductive, i.e., are carriers of initial algebras of functors. Our results are semantic in nature and are inspired by Hermida and Jacobs’ elegant algebraic formulation of induction for polynomial data types. Our contribution is to derive, under slightly different assumptions, an inducti...