Geodesic
Auxiliary transfer matrices for three-dimensional integrable models
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 3, pp. 391-409 
S. M. Sergeev. Auxiliary transfer matrices for three-dimensional integrable models. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 3, pp. 391-409. http://geodesic.mathdoc.fr/item/TMF_2000_124_3_a2/
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     author = {S. M. Sergeev},
     title = {Auxiliary transfer matrices for three-dimensional integrable models},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_3_a2/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We formulate the local combinatorial method for constructing the complete set of operators that commute with the transfer matrix of the Zamolodchikov–Bazhanov–Baxter model in the vertex formulation. We find the compact functional equation satisfied by the generating functional of this complete set of operators.

[1] A. B. Zamolodchikov, Commun. Math. Phys., 79 (1981), 489–505 | DOI | MR

[2] V. V. Bazhanov, R. J. Baxter, J. Stat. Phys., 69 (1992), 453–485 | DOI | MR | Zbl

[3] V. V. Bazhanov, R. J. Baxter, J. Stat. Phys., 71 (1993), 839–864 | DOI | MR

[4] R. J. Baxter, Physica D, 18 (1986), 321–347 | DOI | MR | Zbl

[5] V. V. Mangazeev, S. M. Sergeev, Yu. G. Stroganov, J. Stat. Phys., 82:1/2 (1996) | MR | Zbl

[6] S. M. Sergeev, On a two dimensional system associated with the complex of the solutions of the tetrahedron equation, ; Phys. Lett. A, 253:3–4 (1999), 145–150 ; J. Phys. A, 32 (1999), 5693–5714 ; Solitons in a $3d$ integrable model, ; J. Nonlinear Math. Phys., 7 (2000), 1–17 ; С. М. Сергеев, ТМФ, 118:3 (1999), 479–487 E-print solv-int/9709013E-print solv-int/9904013 | MR | DOI | MR | Zbl | DOI | MR | Zbl | DOI | MR | DOI | MR | Zbl

[7] V. V. Bazhanov, Yu. G. Stroganov, TMF, 52:1 (1982), 105–113 | MR

[8] V. V. Bazhanov, R. M. Kashaev, V. V. Mangazeev, Yu. G. Stroganov, Commun. Math. Phys., 138 (1991), 393–408 | DOI | MR | Zbl

[9] V. V. Mangazeev, S. M. Sergeev, Yu. G. Stroganov, Int. J. Mod. Phys. A, 9 (1994), 5517–5530 | DOI | MR | Zbl