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We present a systematic procedure to obtain singular solutions of theconstant quantum Yang-Baxter equation in arbitrary dimension. This approach,inspired in the Lie (super)algebra structure, is explicitly applied to theparticular case of (graded) contractions of the orthogonal real algebra${\mathfrak{so}}(N+1)$. In this way we show that "classical" contractionparameters which appear in the commutation relations of the contracted Liealgebras, become quantum deformation parameters, arising as entries of theresulting quantum $R$-matrices.

ISIS Opening Address: Complexity versus Simplicity