School Seminars and Colloquia

Boundary Temperley Lieb algebras: exceptional points and the qKZ equation

by Jan de Gier

Institution: The University of Melbourne
Date: Thu 25th October 2007
Time: 3:15 PM
Location: Room 213, Department of Mathematics and Statistics, Uni of Melb

Abstract: The representation theory of Hecke and Temperley-Lieb algebras with boundaries plays an important in statistical mechanical models with boundaries. I will discuss some aspects of the two boundary Temperley- Lieb algebra which have been of recent interest for the partially asymmetric exclusion process and the open quantum XXZ spin chain. In the context of the
one boundary Temperley-Lieb algebra, I will discuss the structure of solutions
of the q-Knizhnik-Zamolodchikov equation, which intertwines the regular and a polynomial representation. These solutions exhibit some interesting positivity properties, relating them to weighted plane partitions.

For More Information: Dr. Iwan Jensen