English

Constructing spoke subfactors using the jellyfish algorithm

Operator Algebras 2015-09-03 v2 Quantum Algebra

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.

Cite

@article{arxiv.1208.3637,
  title  = {Constructing spoke subfactors using the jellyfish algorithm},
  author = {Scott Morrison and David Penneys},
  journal= {arXiv preprint arXiv:1208.3637},
  year   = {2015}
}

Comments

44 pages, many figures, to appear in Transactions of the American Mathematical Society

R2 v1 2026-06-21T21:52:14.698Z