School Seminars and Colloquia

Diagrammatic representation of the (affine) Hecke algebras

Statistical Mechanics/Combinatorics Seminar

by Keiichi Shigechi

Institution: Department of Physics, University of Tokyo, Japan
Date: Thu 11th October 2007
Time: 3:15 PM
Location: Room 213, Richard Berry Building, University of Melbourne

Abstract: After briefly reviewing the recent developments around the Razumov-Stroganov
conjectures, I will talk about a diagrammatic representation of the Hecke algebras.
This representation is a generalization of the representation of the Temperley-Lieb algebra
by link patterns. When we construct the representation, a new object, rhombus tiling, plays
important roles through the Yang-Baxter equation and q-symmetrizers.

For More Information: Dr. Iwan Jensen