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

被引：7
|
作者：
Isaev, A. P. [1 ]
机构：
[1] Joint Nucl Res Inst, Bogoliubov Lab Theoret Phys, Dubna, Moscow Oblast, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2007年 / 150卷 / 02期
基金：
俄罗斯基础研究基金会;
关键词：
integrable spin chain model; affine Hecke algebra; Temperley-Lieb algebra; transfer matrix; TEMPERLEY-LIEB ALGEBRA; REFLECTION EQUATION; BLOB ALGEBRA; SYSTEMS;
D O I：
10.1007/s11232-007-0014-3
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
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 vertical bar m)) type.
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页码：187 / 202
页数：16
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