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On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.

On rational solutions of Yang-Baxter equation for $\mathfrak{sl}(n)$.

In 1984 Drinfeld conjectured that any rational solution X(u, upsilon) of the classical Yang-Baxter equation (CYBE)' with X taking values in a simple complex Lie algebra g is equivalent to one of the form X(u, upsilon) = C2/(u - upsilon) + r(u, upsilon), where C2 is the quadratic Casimir element, …