The University of Queensland
Department of Mathematics

Mathematical Physics Seminar

A Category Theoretic Approach to Confinement and Exclusion Principles
Liam Wagner
Department of Mathematics,
The University of Queenslane
 

Friday 19th March 2004
Room 141, Priestley (Mathematics) Building

Abstract

Lie group symmetries are well known to play a role in the physics of quantum systems. The representation theory of Lie groups can be
conveniently expressed in the framework of category theory. Category theory also extends to incorparate particle statistics, which in
turn allows for an investigation of exclusion and confinement principles through the action of the symmetric groups. This thesis will
develop aspects of this general approach in terms of categorical traces and hermitian forms for the case of symmetric, pre-monoidal
categories.
 

Enquires to Yao-Zhong Zhang on 3365 2309 or yzz@maths.uq.edu.au