# Diagrammatic methods in statistical mechanical lattice models.

#### by Stephen Mc Ateer

Institution: University of Melbourne
Date: Mon 20th February 2012
Time: 1:00 PM
Location: Room 303, Architecture

Abstract: Diagrammatic methods for the representation of tensors is discussed and used to derive a completely factorized expression for the $$SU(n)$$ $$F$$-matrix of fundamental evaluation representations of $$Y(sl_n)$$ and $$U_q(sl_n)$$. This expression is of a similar form to that of Maillet and Sanchez de Santos for the $$SU(2)$$ $$F$$-matrix and equivalent to the unfactorized expression of Albert, Boos, Flume and Ruhlig for the $$SU(n)$$ $$F$$-matrix.

This is Stephens PhD completion seminar.