English

Functional equations for transfer-matrix operators in open Hecke chain models

Mathematical Physics 2010-03-18 v1 math.MP Quantum Algebra Exactly Solvable and Integrable Systems

Abstract

We consider integrable open chain models formulated in terms of generators of affine Hecke algebras. The hierarchy of commutative elements (which are analogs of the commutative transfer-matrices) are constructed by using the fusion procedure. These elements satisfy a set of functional relations which generalize functional relations among a family of transfer-matrices in solvable spin chain models of U_q(gl(n|m)) type.

Keywords

Cite

@article{arxiv.1003.3385,
  title  = {Functional equations for transfer-matrix operators in open Hecke chain models},
  author = {A. P. Isaev},
  journal= {arXiv preprint arXiv:1003.3385},
  year   = {2010}
}

Comments

18 pages

R2 v1 2026-06-21T14:58:57.706Z