NUIM Math. Physics seminar

Robert Ainsworth  
NUIM

Two Dimensional Representations of the Braid Group

Monday 27 October 2009 at 10.00 a.m.

Science Building Room 1.10 NUIM North Campus

Abstract:

An introduction to the braid group and a brief overview of representation theory is given. I then will describe how to represent the braid group as 2 x 2 unitary matrices.  We will also discuss Bratteli diagrams, the results of Freedman, Larsen and Wang, how to find the image of the 3 particle braid group and how to prove that it contains SU(2).