| Abstract: | An analogy between the theory of group representations and the quantum inverse scattering method is discussed. The problem of describing all L-operators generating an arbitrary monodromy matrix is formulated. This problem is solved for the R-matrix of the XXX model.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 131, pp. 80–87, 1983.In conclusion we express out gratitude to E. K. Sklyanin for our discussions. |
