The Uq(sl(2|1))1-module V(Λ2) and a corner transfer matrix at q=0 Original Research Article

The north-west corner transfer matrix of an inhomogeneous integrable vertex model constructed from the vector representation of Uq(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 Uq(sl(2|1))-module V(Λ2) 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 Uq(sl(2|1)) to the weight states of V(Λ2) with multiplicity one.