English

Yang-Baxter Equation on Two-Dimensional Lattice and Some Infinite Dimensional Algebras

High Energy Physics - Theory 2007-05-23 v1

Abstract

We show that the Yang-Baxter equation is equivalent to the associativity of the algebra generated by non-commuting link operators. Starting from these link operators we build out the (FFZ) algebras, the sq(2)s\ell_q (2) is derived by considering a special combination of the generators of (FFZ) algebra.

Keywords

Cite

@article{arxiv.hep-th/0007162,
  title  = {Yang-Baxter Equation on Two-Dimensional Lattice and Some Infinite Dimensional Algebras},
  author = {M. Daoud and J. Douari and Y. Hassouni},
  journal= {arXiv preprint arXiv:hep-th/0007162},
  year   = {2007}
}

Comments

14 pages