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A new Q-matrix in the Eight-Vertex Model
We construct a -matrix for the eight-vertex model at roots of unity for
crossing parameter with odd , a case for which the existing
constructions do not work. The new -matrix \Q depends as usual on the
spectral parameter and also on a free parameter . For \Q has the
standard properties. For , however, it does not commute with the
operator and not with itself for different values of the spectral
parameter. We show that the six-vertex limit of \Q(v,t=iK'/2) exists.Comment: 10 pages section on quasiperiodicity added, typo corrected, published
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