… we compare classical tensor product and tensor category theory for Lie algebra modules
with tensor product and tensor category theory for vertex operator algebra modules. One crucial …

… In this paper, Part VIII of a series of eight papers on logarithmic tensor category theory, we
construct the braided tensor category structure, using the previously developed results. The …

… tensor categories and modular tensor categories from representations of vertex operator
algebras, … results that yield braided tensor categories, and in the rational case, modular tensor …

… -Douglas theories [C2]. As we will mention later in conjecture 3.3, the semi-simplification
of a log-modular tensor category is expected to be a modular tensor category. This category …

… tensor category of a given vertex algebra. Our approach is to use structure of the vertex algebra
and its tensor category … quasi Hopf algebra with braided equivalent tensor category. First …

… logarithmic tensor product theory hold. As a consequence, we prove that this category
has a natural vertex tensor category structure, and in particular we obtain a new, vertex-algebraic, …

… case, to “Möbius vertex tensor category” structure. We emphasize that we develop our …
theory (tensor category theory) in a very general setting; the vertex (operator) algebras that we …

… In this paper (Part II), we develop logarithmic formal calculus and study logarithmic … on
logarithmic tensor category theory, we develop logarithmic formal calculus and study logarithmic …

… This leads to vertex tensor category structure for further … Möbius case, to “Möbius vertex
tensor category” structure. This work … tensor category structure, and even vertex tensor category …

… the vertex tensor category theory needed for applying [KO] to vertex operator algebras,
the types of vertex … in logarithmic conformal field theory have been constructed in [HLZ1]-[HLZ8], …