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Constructing spoke subfactors using the jellyfish algorithm

Date

Authors

Morrison, Scott

Penneys, David

Publisher

American Mathematical Society

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.

Keywords

Jones’ quadratic tangles formulas, 4442, 3333, 3311, and 2221 spoke subfactors, 1-strand jellyfish generators

URI

http://hdl.handle.net/1885/13034

Collections

ANU Research Publications

Source

Transactions of the American Mathematical Society

Type

Journal article

DOI

10.1090/S0002-9947-2014-06109-6

Downloads

File

Description

01 Morrison and Penneys Constructing spoke subfactors 2015.pdf (3.29 MB)