结合代数或李代数的分类问题以及对称或skew-symmetric matrices的三元组是很难解决的
Problems of classifying associative or Lie algebras and triples of symmetric or skew-symmetric matrices are wild
摘要：
我们证明了对称或反对称矩阵的三元组直到同余的分类问题，具有零立方根和3维平方根的局部交换结合代数，以及具有3维中心换位子代数的李代数是没有希望的，因为它们都归结为n × n矩阵对直到同时相似的分类问题.
英文摘要：
We prove that the problems of classifying triples of symmetric or skew-symmetric matrices up to congruence, local commutative associative algebras with zero cube radical and square radical of dimension 3, and Lie algebras with central commutator subalgebra of dimension 3 are hopeless since each of them reduces to the problem of classifying pairs of n-by-n matrices up to simultaneous similarity.
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