SUBFACTORS OF INDEX LESS THAN 5, PART 4: VINES

DOI10.1142/S0129167X11007641zbMath1246.46056arXiv1010.3797MaRDI QIDQ5389536

David Penneys, James E. Tener

Publication date: 21 April 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.3797

zbMATH Keywords

subfactorscyclotomic numbersfusion categoriesprincipal graphs

Mathematics Subject Classification ID

Subfactors and their classification (46L37)

Related Items

The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ The little desert? Some subfactors with index in the interval $(5, 3+\sqrt{5})$ ⋮ Singly generated planar algebras of small dimension, Part III ⋮ Subfactors of index less than 5. I: The principal graph odometer ⋮ The center of the extended Haagerup subfactor has 22 simple objects ⋮ A planar calculus for infinite index subfactors ⋮ Principal graph stability and the jellyfish algorithm ⋮ 2-supertransitive subfactors at index \(3 + \sqrt{5}\) ⋮ The classification of subfactors of index at most 5 ⋮ Chirality and principal graph obstructions ⋮ An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem ⋮ 1-supertransitive subfactors with index at most \(6\frac{1}{5}\) ⋮ Constructing the extended Haagerup planar algebra ⋮ Exchange relation planar algebras of small rank ⋮ Higher Gauss sums of modular categories ⋮ Subfactors of index exactly 5 ⋮ Composed inclusions of \(A_3\) and \(A_4\) subfactors

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