Geodesic
Hidden quantum $R$-matrix in the discrete-time classical Heisenberg magnet
Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 179-204

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We construct local $M$-operators for an integrable discrete-time version of the classical Heisenberg magnet by convoluting the twisted quantum trigonometric $4\times4$ $R$-matrix with certain vectors in its “quantum” space. Components of the vectors are identified with $\tau$-functions of the model. Hirota's bilinear formalism is extensively used. The construction generalizes the known representation of $M$-operators in continuous-time models in terms of Lax operators and the classical $r$-matrix. 
@article{TMF_2000_125_2_a0,
     author = {A. V. Zabrodin},
     title = {Hidden quantum $R$-matrix in the discrete-time classical {Heisenberg} magnet},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {179--204},
     publisher = {mathdoc},
     volume = {125},
     number = {2},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a0/}
}
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A. V. Zabrodin. Hidden quantum $R$-matrix in the discrete-time classical Heisenberg magnet. Teoretičeskaâ i matematičeskaâ fizika, Tome 125 (2000) no. 2, pp. 179-204. http://geodesic.mathdoc.fr/item/TMF_2000_125_2_a0/