This article is cited in 9 papers

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

A. P. Isaev

Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics

Abstract: We consider integrable open chain models formulated in terms of the generators of affine Hecke algebras. We use the fusion procedure to construct the hierarchy of commutative elements, which are analogues of the commutative transfer matrices. These elements satisfy a set of functional relations generalizing functional relations for a family of transfer matrices in solvable spin chain models of the $U_q(gl(n|m))$ type.

Keywords: integrable spin chain model, affine Hecke algebra, Temperley–Lieb algebra, transfer matrix.

Received: 01.05.2006

DOI: 10.4213/tmf5975

 English version: Theoretical and Mathematical Physics, 2007, 150:2, 187–202

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