English

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

Quantum Algebra 2012-05-14 v2 High Energy Physics - Theory Representation Theory

Abstract

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) algebra. In this paper (Part III), we introduce and study intertwining maps and tensor product bifunctors.

Keywords

Cite

@article{arxiv.1012.4197,
  title  = {Logarithmic tensor category theory, III: Intertwining maps and tensor product bifunctors},
  author = {Yi-Zhi Huang and James Lepowsky and Lin Zhang},
  journal= {arXiv preprint arXiv:1012.4197},
  year   = {2012}
}

Comments

Part III of a series of 8 papers generalizing the results in and collectively replacing arXiv:0710:2687, with new titles. 38 pages. Right exactness result added; minor changes

R2 v1 2026-06-21T17:01:14.924Z