Geodesic
Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum Hamiltonians
Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 175-196 Cet article a éte moissonné depuis la source Math-Net.Ru

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Monodromy matrices with vacuum and finite-dimensional single-particle subspace are considered for the $R$ matrices of the $XXX$ and $XXZ$ models. A natural class of monodromy matrices – irreducible monodromy matrices – is described; for these matrices, the propositions proposed earlier as natural hypotheses are valid. The existence of local Hamiltonians is proved for quantum integrable models on a lattice with irreducible local monodromy matrices. 
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     author = {V. O. Tarasov},
     title = {Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum {Hamiltonians}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {63},
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}
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V. O. Tarasov. Irreducible monodromy matrices for the $R$ matrix of the $XXZ$ model and local lattice quantum Hamiltonians. Teoretičeskaâ i matematičeskaâ fizika, Tome 63 (1985) no. 2, pp. 175-196. http://geodesic.mathdoc.fr/item/TMF_1985_63_2_a2/

[1] Faddeev L. D., Soviet Sci. Rev., Math. Phys. C, 1 (1981), 107–155

[2] Takhtadzhyan L. A., Faddeev L. D., UMN, 34:5 (1979), 13–63 | MR

[3] Kulish P. P., Sklyanin E. K., Lect. Notes in Phys., 151, 1981, 61–110 | DOI | MR

[4] Izergin A. G., Korepin V. E., Nucl. Phys. B, 205, FS5 (1982), 401–413 | DOI | MR

[5] Korepin V. E., DAN SSSR, 265:6 (1982), 1361–1364 | MR

[6] Tarasov V. O., TMF, 61:2 (1984), 163–173 | MR

[7] Izergin A. G., Korepin V. E., Zap. nauchn. semin. LOMI, 131, 1983, 80–87 | MR

[8] Tarasov V. O., Takhtadzhyan L. A., Faddeev L. D., TMF, 57:2 (1983), 163–181 | MR

[9] Izergin A. G., Korepin V. E., Zap. nauchn. semin. LOMI, 133, 1984, 92–112 | MR | Zbl

[10] Smirnov F. A., TMF, 53:3 (1982), 323–334 | MR