Abstract

The north-west corner transfer matrix of an inhomogeneous integrable vertex model constructed from the vector representation of U q ( sl(2|1)) and its dual is investigated. In the limit q→0, the spectrum can be obtained. Based on an analysis of the half-infinite tensor products related to all CTM-eigenvalues ⩾−4, it is argued that the eigenvectors of the corner transfer matrix are in one-to-one correspondence with the weight state of the U q( sl(2|1)) -module V( Λ 2) at level one. This is supported by a comparison of the complete set of eigenvectors with a nondegenerate triple of eigenvalues of the CTM-Hamiltonian and the generators of the Cartan-subalgebra of U q ( sl(2|1)) to the weight states of V( Λ 2) with multiplicity one.

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