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New Solutions to the Yang--Baxter Equation from Two--Dimensional Representations of Uq(sl(2))U_q(sl(2)) at Roots of Unit

Abstract

We present particularly simple new solutions to the Yang--Baxter equation arising from two--dimensional cyclic representations of quantum SU(2)SU(2). They are readily interpreted as scattering matrices of relativistic objects, and the quantum group becomes a dynamical symmetry.Comment: 11 page

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