Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules
YZ Huang, J Lepowsky, L Zhang - … : Proceedings of a Workshop Held at …, 2014 - Springer
This is the first part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …
general tensor category theory for suitable module categories for a vertex (operator) …
Logarithmic tensor product theory for generalized modules for a conformal vertex algebra
YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:0710.2687, 2007 - arxiv.org
We generalize the tensor product theory for modules for a vertex operator algebra previously
developed in a series of papers by the first two authors to suitable module categories for …
developed in a series of papers by the first two authors to suitable module categories for …
A logarithmic generalization of tensor product theory for modules for a vertex operator algebra
YZ Huang, J Lepowsky, L Zhang - International Journal of …, 2006 - World Scientific
We describe a logarithmic tensor product theory for certain module categories for a"
conformal vertex algebra". In this theory, which is a natural, although intricate, generalization …
conformal vertex algebra". In this theory, which is a natural, although intricate, generalization …
Logarithmic tensor category theory, VIII: Braided tensor category structure on categories of generalized modules for a conformal vertex algebra
YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1110.1931, 2011 - arxiv.org
This is the eighth part in a series of papers in which we introduce and develop a natural,
general tensor category theory for suitable module categories for a vertex (operator) …
general tensor category theory for suitable module categories for a vertex (operator) …
A theory of tensor products for module categories for a vertex operator algebra, III
YZ Huang, J Lepowsky - Journal of Pure and Applied Algebra, 1995 - Elsevier
This is the third part in a series of papers developing a tensor product theory for modules for
a vertex operator algebra. The goal of this theory is to construct a “vertex tensor category” …
a vertex operator algebra. The goal of this theory is to construct a “vertex tensor category” …
Tensor products of modules for a vertex operator algebra and vertex tensor categories
YZ Huang, J Lepowsky - Lie Theory and Geometry: In Honor of Bertram …, 1994 - Springer
In this paper, we present a theory of tensor products of classes of modules for a vertex
operator algebra. We focus on motivating and explaining new structures and results in this …
operator algebra. We focus on motivating and explaining new structures and results in this …
A theory of tensor products for module categories for a vertex operator algebra, I
YZ Huang, J Lepowsky - Selecta Mathematica, 1995 - Springer
This is the first part in a series of papers developing a tensor product theory for modules for a
vertex operator algebra. The goal of this theory is to construct a “vertex tensor category” …
vertex operator algebra. The goal of this theory is to construct a “vertex tensor category” …
Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
YZ Huang - Proceedings of the National Academy of …, 2005 - National Acad Sciences
Let V be a simple vertex operator algebra satisfying the following conditions:(i) V (n)= 0 for
n< 0,, and the contragredient module V'is isomorphic to V as a V-module;(ii) every weak V …
n< 0,, and the contragredient module V'is isomorphic to V as a V-module;(ii) every weak V …
A theory of tensor products for module categories for a vertex operator algebra, II
YZ Huang, J Lepowsky - Selecta Mathematica, 1995 - Springer
This is the second part in a series of papers presenting a theory of tensor products for
module categories for a vertex operator algebra. In Part I, the notions of P (z)-and Q (z) …
module categories for a vertex operator algebra. In Part I, the notions of P (z)-and Q (z) …
Duality structures for module categories of vertex operator algebras and the Feigin Fuchs boson
Huang, Lepowsky and Zhang have developed a module theory for vertex operator algebras
that endows suitably chosen module categories with the structure of braided monoidal …
that endows suitably chosen module categories with the structure of braided monoidal …