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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 2, Pages 219–236
DOI: https://doi.org/10.4213/tmf5975 (Mi tmf5975) 		 
This article is cited in 8 scientific papers (total in 8 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
Full-text PDF (491 kB) Citations (8)
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DOI: https://doi.org/10.4213/tmf5975
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
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 2, Pages 187–202
DOI: https://doi.org/10.1007/s11232-007-0014-3
Bibliographic databases:
Language: Russian
Citation: A. P. Isaev, “Functional equations for transfer-matrix operators in open Hecke chain models”, TMF, 150:2 (2007), 219–236; Theoret. and Math. Phys., 150:2 (2007), 187–202
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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