CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar
Diagram algebras from the viewpoint of tensor categories Jonathan Comes, Tech. Univ. Munich
April 5, 2011 Math 220 2-3pm	Abstract 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

Jonathan Comes, Tech. Univ. Munich

April 5, 2011

Math 220

2-3pm

Abstract

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.