标题： 来自李（超）代数的常量子Yang-Baxter方程的解 显示英文标题

标题： Solutions for the constant quantum Yang-Baxter equation from Lie (super)algebras

摘要： 我们提出了一种系统的方法，以在任意维数下获得常量子Yang-Baxter方程的奇异解。 这种方法受Lie(超)代数结构的启发，被明确应用于正交实代数的(分级)收缩的特殊情况${\mathfrak{so}}(N+1)$。 通过这种方式，我们表明出现在收缩Lie代数对易关系中的“经典”收缩参数，成为量子变形参数，作为所得量子$R$-矩阵的条目出现。 显示英文摘要

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