منابع مشابه
Existence of the AH + 2 subfactor
We give two di erent proofs of the existence of the AH +2 subfactor, which is a 3-supertransitive self-dual subfactor with index 9+ √ 17 2 . The rst proof is a direct construction using connections on graphs and intertwiner calculus for bimodule categories. The second proof is indirect, and deduces the existence of AH + 2 from a recent alternative construction of the Asaeda-Haagerup subfactor a...
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We study the problem of realising modular invariants by braided subfactors and the related problem of classifying nimreps. We develop the fusion rule structure of these modular invariants. This structure is useful tool in the analysis of modular data from quantum double subfactors, particularly those of the double of cyclic groups, the symmetric group on 3 letters and the double of the subfacto...
متن کاملA Planar Algebra Construction of the Haagerup Subfactor
Most known examples of subfactors occur in families, coming from algebraic objects such as groups, quantum groups and rational conformal field theories. The Haagerup subfactor is the smallest index finite-depth subfactor which does not occur in one of these families. In this paper we construct the planar algebra associated to the Haagerup subfactor, which provides a new proof of the existence o...
متن کاملClassification of Thurston-relation Subfactor Planar Algebras
Bisch and Jones suggested the skein theoretic classification of planar algebras and investigated the ones generated by 2-boxes with the second author. In this paper, we consider 3-box generators and classify subfactor planar algebras generated by a non-trivial 3-box satisfying a relation proposed by Thurston. The subfactor planar algebras in the classification are either E6 or the ones from rep...
متن کاملAn orthogonal approach to the subfactor of a planar algebra
Starting from a subfactor planar algebra, a construction was given in [GJS07] of a tower of II1 factors whose standard invariant is precisely the given planar algebra. The construction was entirely in terms of planar diagrams and gave a diagrammatic reproof of a result of Popa in [Pop95]. The inspiration for the paper was from the theory of large random matrices where expected values of words o...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 2000
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-14281