On Bethe vectors in the XXZ model at roots of unity

Details On Bethe vectors in the XXZ model at roots of unity On Bethe vectors in the XXZ model at roots of unity

2003-06-02

arxiv.org/abs/math/0306032v1

Zap. nauch. semin. POMI 291 (2002), 251--262

Mathematics

Quantum Algebra

9 pages, amstex 2.2 and amssym.tex required

Scientific paper

We give a construction of creation operators responsible for appearance of Bethe vectors with the same eigenvalues of the transfer-matrix for the inhomogeneous arbitrary spin XXZ model at roots of unity with particular quasiperiodic boundary conditions. This construction generalizes the similar one, recently obtained by K.Fabricius and B.M.McCoy, for the homogeneous six-vertex model with periodic boundary conditions. Even in the last case, the given proof for the main formulae are simpler than the original one.

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