vix.ing · top · new · best · stats · spec

Identities in Representations of the Hecke Algebra

1996/08/02 by S. Loesch, Yu-Sen Zhou, Y-K Zhou +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #Random Matrices and Applications #hep-th #math.QA #q-alg

paper · pdf · doi:10.1142/s0217751x97002413

published as Int.J.Mod.Phys. A12 (1997) 4425-4443 · 20 pages,2 figures,harvmac.tex and epsf.tex needed

arxiv created 1996/08/02 · openalex publication_date 1997/09/30 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Cited by