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Short Introduction to Planar Algebras

My paper with Emily and Noah about the D_{2n} planar algebra includes our attempt at a friendly explanation. It's all about arguably the simplest non-trivial example of a subfactor planar algebra.
Kim Morrison's user avatar
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Why are fusion categories interesting?

The relationship between (sufficiently nice) fusion categories and subfactor planar algebras is a little complicated. There are three things to keep in mind. Almost trivially, a pivotal fusion catego …
5 votes

Why are fusion categories interesting?

The analogy with finite groups is not quite as strong as Greg suggests. If you're looking at a braided fusion category then the dimensions of objects all divide the the global dimension (the sum of th …