Characteristic Numbers of Matrix Lie Algebras

矩阵谎言代数学的典型数字的一个观点被定义，它被奉献给区分被用来产生 soliton 方程的 integrable 政变石楠的各种各样的谎言代数学。也就是说，由使用计算公式的矩阵谎言代数学的准确分类被给。这里，典型数字也描述在 soliton 答案之间的关系静止零个弯曲方程由各种各样的谎言代数学表示了。

A notion of characteristic number of matrix Lie algebras is defined, which is devoted to distinguishing various Lie algebras that are used to generate integrable couplings of soliton equations. That is, the exact classification of the matrix Lie algebras by using computational formulas is given. Here the characteristic numbers also describe the relations between soliton solutions of the stationary zero curvature equations expressed by various Lie algebras.