Combinatorial identities,and completeness of eigenstates of the Heisenberg magnet

The completeness of the multiplet system constructed from the Bethe vectors is proved for the Heisenberg model of arbitrary spin and for the generalized Kondo model.This paper is devoted to the proof of the completeness of the multiplet system constructed from the Bethe vectors for the generalized Heisenberg model of arbitrary spin and for the generalized Kondo model.Translated from Zapiski Nauchykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 131, pp. 88–105, 1983.