Jean Avan, Baptiste Billaud, Geneviève Rollet
A complete classification of non-affine dynamical quantum R-matrices obeying the Gl_n(C)-Gervais-Neveu-Felder equation is given without assuming either Hecke or weak Hecke conditions. More general dynamical dependences are observed. These generic solutions are built upon elementary blocks, which satisfy the weak Hecke condition, and which are fully characterized by an arbitrary set of classes partioning the set of indices {1,...,n}. The weak Hecke-type R-matrices are shown to exhibit the analytical behaviour R_ij,ji=f(e_I(i)L_I(i)-e_I(j)L_I(j)), where f is a particular trigonometric or rational function of the dynamical coordinate L=(L_i)_i\in{1,...,n} and the set {e_I(i)}}_i\in{1,...,n} is an arbitrary choice of signs, I(i) being the unique class of the partition of the set of indices {1,...,n} to which belongs the index i and L_I(i)=\sum_j\in I(i)L_j.
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http://arxiv.org/abs/1204.2746
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