Solution of a Yang-Baxter system

Mathematics – Quantum Algebra

Scientific paper

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37 pages, Latex2e, no figures

Scientific paper

Yang-Baxter system related to quantum doubles is introduced and large class
of both continuous and discrete symmetries of the solution manifold are
determined. Strategy for solution of the system based on the symmetries is
suggested and accomplished in the dimension two.The complete list of invertible
solutions of the system is presented.

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