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

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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 Uq(gl(n|m)) type.

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  1. Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Oblast, Russia

    A. P. Isaev

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 2, pp. 219–236, February, 2007.

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Isaev, A.P. Functional equations for transfer-matrix operators in open Hecke chain models. Theor Math Phys 150, 187–202 (2007). https://doi.org/10.1007/s11232-007-0014-3

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  • DOI: https://doi.org/10.1007/s11232-007-0014-3

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