English

Identities in Representations of the Hecke Algebra

q-alg 2009-10-30 v1 High Energy Physics - Theory Quantum Algebra

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.

Keywords

Cite

@article{arxiv.q-alg/9608004,
  title  = {Identities in Representations of the Hecke Algebra},
  author = {S. Loesch and Y-K Zhou and J-B Zuber},
  journal= {arXiv preprint arXiv:q-alg/9608004},
  year   = {2009}
}

Comments

20 pages,2 figures,harvmac.tex and epsf.tex needed