On Some Subfactors of Integer Index Arising from Vertex Models
✍ Scribed by Uma Krishnan; V.S. Sunder; Cherian Varughese
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 727 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
✦ Synopsis
This paper is devoted to the study of subfactors arising out of commuting squares constructed out of the simplest possible vertex models. After setting up the necessary general background, we start with two classes of commuting squares and compute the principal graphs of the resulting subfactors, one of them being related to the group dual of a suitable (closed) subgroup of U(N ), and the other to the Cayley graph of a (non-closed) group, modulo scalars, generated by N elements of U(N ). In the last section, we ``classify'' the commuting squares in dimension 2, and identify the possible resulting principal graphs as A (1) (2n&1) , 1 n .
1996 Academic Press, Inc.