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- W2079437251 abstract "We construct the R-matrix which intertwines between “semi-cyclic” representations of Uq(sl(2)) with q3=1. When qp=1 (for odd p), we call semi-cyclic representations those of dimension p which are characterized by the following value of the center of Uq(sl(2)): Ep=0, Fp=x, Kp=γp. As in the cyclic case, the values of x and γp of two different representations for which the intertwiner exists are constrained to lie on an algebraic curve, x=κ(1−λp). The main interest of our approach is that we do not need to resort to the affine extension of Uq(sl(2)) in order to construct a spectral-dependent R-matrix." @default.
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- W2079437251 date "1991-08-01" @default.
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- W2079437251 title "New R -matrices associated with finite dimensional representations of U q (sl(2)) at roots of unity" @default.
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- W2079437251 doi "https://doi.org/10.1016/0370-2693(91)90020-q" @default.
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