A tensor category is a category equipped with a nicely behaved tensor product, for example take Rep(G) where G is a finite group. In this talk I will explain how to do calculations in tensor categories by manipulating certain pictures. I will also explain how various diagram algebras (such as Temperley-Lieb or Brauer algebras) arise as endomorphism algebras in some "universal" tensor categories.
Diagram algebras from the viewpoint of tensor categories
Diagram algebras from the viewpoint of tensor categories