The Uq(sl(2/1))1-module V(2) and a Corner Transfer Matrix at q=0
Abstract
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 q0, 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 correspondance with the weight states of the Uq((sl(2/1))1-module V(2) at level one. This is supported by a comparison of the comlete 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(2) with multiplicity one.
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