Geodesic
Problem of description of all the $L$-operators for the $XXX$- and $XXZ$- $R$-matrices
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 4, Tome 131 (1983), pp. 80-87

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An analogy between the group representation theory and the quantum inverse scattering method is discussed. A problem of description of all the $L$-operators generating an arbitrary monodromy matrix is stated. The problem is solved for the $R$-matrix of the $XXX$-model. 
@article{ZNSL_1983_131_a6,
     author = {A. G. Izergin and V. E. Korepin},
     title = {Problem of description of all the $L$-operators for the $XXX$- and $XXZ$- $R$-matrices},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {80--87},
     publisher = {mathdoc},
     volume = {131},
     year = {1983},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1983_131_a6/}
}
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A. G. Izergin; V. E. Korepin. Problem of description of all the $L$-operators for the $XXX$- and $XXZ$- $R$-matrices. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 4, Tome 131 (1983), pp. 80-87. http://geodesic.mathdoc.fr/item/ZNSL_1983_131_a6/