A theory of tensor products for module categories for a vertex operator algebra, III
| dc.creator | Huang, Yi-Zhi | |
| dc.creator | Lepowsky, James | |
| dc.date | 1995-05-17 | |
| dc.date | 1995-05-18 | |
| dc.date.accessioned | 2026-07-07T09:04:51Z | |
| dc.date.available | 2026-07-07T09:04:51Z | |
| dc.description | 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'' structure on the category of modules for a suitable vertex operator algebra. The notion of vertex tensor category is essentially a ``complex analogue'' of the notion of symmetric tensor category, and in fact a vertex tensor category produces a braided tensor category in a natural way. In this paper, we focus on a particular element $P(z)$ of a certain moduli space of three-punctured Riemann spheres; in general, every element of this moduli space will give rise to a notion of tensor product, and one must consider all these notions in order to construct a vertex tensor category. Here we present the fundamental properties of the $P(z)$-tensor product of two modules for a vertex operator algebra. We give two constructions of a $P(z)$-tensor product, using the results, established in Parts I and II of this series, for a certain other element of the moduli space. The definitions and results in Part I (hep-th/9309076, which has been replaced by a new version with a greatly expanded introduction and updated references) and Part II (hep-th/9309159) are recalled. | |
| dc.description | LaTeX file. 40 pages. To appear in the special 100th issue of the Journal of Pure and Applied algebra, dedicated to ``Applications of Algebra to Physics.'' Information on Part I (hep-th/9309076, which has been replaced by a new version with a greatly expanded introduction and updated references) and Part II (hep-th/9309159) is added to the abstract. The paper is not changed | |
| dc.identifier | https://arxiv.org/abs/q-alg/9505018 | |
| dc.identifier | http://arxiv.org/abs/q-alg/9505018 | |
| dc.identifier | J.Pure Appl.Algebra 100 (1995) 141-172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/149530 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | A theory of tensor products for module categories for a vertex operator algebra, III | |
| dc.type | text |