Logarithmic tensor category theory, II: Logarithmic formal calculus and properties of logarithmic intertwining operators

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1012.4196, 2010 - arxiv.org
This is the second 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) …

Logarithmic tensor category theory, VI: Expansion condition, associativity of logarithmic intertwining operators, and the associativity isomorphisms

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1012.4202, 2010 - arxiv.org
This is the sixth 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) …

Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1012.4199, 2010 - arxiv.org
This is the fifth 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) …

Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1012.4197, 2010 - arxiv.org
This is the third 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) …

On the applicability of logarithmic tensor category theory

YZ Huang - arXiv preprint arXiv:1702.00133, 2017 - arxiv.org
We give results and observations which allow the application of the logarithmic tensor
category theory of Lepowsky, Zhang and the author ([HLZ1]--[HLZ9]) to more general vertex …

Logarithmic tensor category theory, IV: Constructions of tensor product bifunctors and the compatibility conditions

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1012.4198, 2010 - arxiv.org
This is the fourth 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) …

Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps

YZ Huang, J Lepowsky, L Zhang - arXiv preprint arXiv:1110.1929, 2011 - arxiv.org
This is the seventh 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) …

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) …

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 …

Logarithmic tensor product theory for generalized modules for a conformal vertex algebra, Part I

YZ Huang, J Lepowsky, L Zhang - arXiv preprint math/0609833, 2006 - 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 …