Geodesic
Functional equations for transfer-matrix operators in open Hecke chain models
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 219-236

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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
Mots-clés : transfer matrix. 
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     author = {A. P. Isaev},
     title = {Functional equations for transfer-matrix operators in open {Hecke} chain models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {219--236},
     publisher = {mathdoc},
     volume = {150},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a3/}
}
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A. P. Isaev. Functional equations for transfer-matrix operators in open Hecke chain models. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 2, pp. 219-236. http://geodesic.mathdoc.fr/item/TMF_2007_150_2_a3/