Identities in Representations of the Hecke Algebra
  New identities on traces of representations of the Hecke algebra on the spaces of paths on graphs are presented. These identities are relevant in the computation of partition functions with fixed boundary conditions and of two-point correlation functions in a class of lattice models. They might also help to determine the Boltzmann weights of these (allegedly) integrable models. 
S. Loesch (CEA-Saclay), Y-K Zhou (ANU) and J-B Zuber (CEA-Saclay)