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

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

2010-12-19

arxiv.org/abs/1012.4198v1

Mathematics

Quantum Algebra

Part IV of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 94 pa

Scientific paper

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) algebra. In this paper (Part IV), we give
constructions of the P(z)- and Q(z)-tensor product bifunctors using what we
call "compatibility conditions" and certain other conditions.

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