Constructing spoke subfactors using the jellyfish algorithm

DOI10.1090/S0002-9947-2014-06109-6zbMath1360.46054arXiv1208.3637OpenAlexW3098673473MaRDI QIDQ5246962

Scott Morrison, David Penneys

Publication date: 22 April 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.3637

Mathematics Subject Classification ID

Subfactors and their classification (46L37)

Related Items

The Classification of Subfactors with Index at Most 5\frac{1}4 ⋮ The center of the extended Haagerup subfactor has 22 simple objects ⋮ Drinfeld centers of fusion categories arising from generalized Haagerup subfactors ⋮ Principal graph stability and the jellyfish algorithm ⋮ Lifting shadings on symmetrically self-dual subfactor planar algebras ⋮ 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 \(6\frac{1}{5}\) ⋮ The module embedding theorem via towers of algebras ⋮ Jones-Wassermann subfactors for modular tensor categories ⋮ Fusion categories associated with subfactors with index $3 + sqrt{5}$ ⋮ Unitary dual functors for unitary multitensor categories ⋮ Subfactors of index exactly 5 ⋮ Constructing spoke subfactors using the jellyfish algorithm ⋮ Composed inclusions of \(A_3\) and \(A_4\) subfactors ⋮ Cyclic extensions of fusion categories via the Brauer-Picard groupoid

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Subfactors of index less than 5. I: The principal graph odometer
• Cyclotomic integers, fusion categories, and subfactors
• The embedding theorem for finite depth subfactor planar algebras
• Constructing the extended Haagerup planar algebra
• Quadratic tangles in planar algebras
• Skein theory for the \(D_{2n}\) planar algebras
• Classification of paragroup actions on subfactors
• Principal graph stability and the jellyfish algorithm
• The little desert? Some subfactors with index in the interval $(5, 3+\sqrt{5})$
• THE STRUCTURE OF SECTORS ASSOCIATED WITH LONGO–REHREN INCLUSIONS II: EXAMPLES
• A Formula for the Jones-Wenzl Projections
• Higher categories, colimits, and the blob complex
• Constructing spoke subfactors using the jellyfish algorithm
• SUBFACTORS OF INDEX LESS THAN 5, PART 2: TRIPLE POINTS
• Coefficients of the one- and two-gap boxes in the Jones-Wenzl idempotent