Constructing spoke subfactors using the jellyfish algorithm

Scott Morrison; David Penneys

doi:10.1090/S0002-9947-2014-06109-6

Constructing spoke subfactors using the jellyfish algorithm

Scott Morrison
, David Penneys

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

Using Jones’ quadratic tangles formulas, we automate the construction of the 4442, 3333, 3311, and 2221 spoke subfactors by finding sets of 1-strand jellyfish generators. The 4442 spoke subfactor is new, and the 3333, 3311, and 2221 spoke subfactors were previously known. This is the published version of arXiv:1208.3637.

Original language	English
Pages (from-to)	3257-3298
Number of pages	42
Journal	Transactions of the American Mathematical Society
Volume	367
Issue number	5
DOIs	https://doi.org/10.1090/S0002-9947-2014-06109-6
Publication status	Published - 2015

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title = "Constructing spoke subfactors using the jellyfish algorithm",

abstract = "Using Jones{\textquoteright} quadratic tangles formulas, we automate the construction of the 4442, 3333, 3311, and 2221 spoke subfactors by finding sets of 1-strand jellyfish generators. The 4442 spoke subfactor is new, and the 3333, 3311, and 2221 spoke subfactors were previously known. This is the published version of arXiv:1208.3637.",

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AB - Using Jones’ quadratic tangles formulas, we automate the construction of the 4442, 3333, 3311, and 2221 spoke subfactors by finding sets of 1-strand jellyfish generators. The 4442 spoke subfactor is new, and the 3333, 3311, and 2221 spoke subfactors were previously known. This is the published version of arXiv:1208.3637.

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Constructing spoke subfactors using the jellyfish algorithm

Abstract

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