形式系与线性映射的分类问题
Classification problems for system of forms and linear mappings
摘要：
我们设计了一种方法，将形式系统和线性映射的分类问题归结为线性映射的分类问题。在特征不为2的任意域上，得到了（i）双线性或半双线性型，（ii）对称、反对称或厄米特型对，（iii）具有非奇异对称、反对称或厄米特型的空间上的等距或自伴算子的典范矩阵，直至其有限扩张上的厄米特型分类.
英文摘要：
We devise a method that reduces the problem of classifying systems of forms and linear mappings to the problem of classifying systems of linear mappings. Canonical matrices of (i) bilinear or sesquilinear forms, (ii) pairs of symmetric, skew-symmetric, or Hermitian forms, (iii) isometric or selfadjoint operators on a space with nonsingular symmetric, or skew-symmetric, or Hermitian form are obtained over any field of characteristic not 2 up to classification of Hermitian forms over its finite extensions.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
