71 citations · 368 across the 51 of their papers we have counts for
4 papers · 1 filter
1-supertransitive subfactors with index at most 6+1/5
Zhengwei Liu, Scott Morrison, David Penneys
We classify irreducible II_1 subfactors A \subset B such that B \ominus A is reducible as an A-A bimodule, with index at most 6+1/5, leaving aside the composite subfactors at index…
Fusion categories between and
Masaki Izumi, Scott Morrison, David Penneys
Given a pair of fusion categories and , we may form the free product and the tensor product . It is natural to think of the tensor product as a quotie…
Calculating two-strand jellyfish relations
David Penneys, Emily Peters
We construct subfactors where one of the principal graphs is a spoke graph using an algorithm which computes two-strand jellyfish relations. One of the subfactors we construct is a…
Chirality and principal graph obstructions
David Penneys
Determining which bipartite graphs can be principal graphs of subfactors is an important and difficult question in subfactor theory. Using only planar algebra techniques, we prove…