We characterize non-singular polar spaces embedded in non-singular polar spaces of the same rank using subsets of generators satisfying a natural intersection condition. By [7] and [8] this result has applications to the theory of Cameron-Liebler sets. In fact, our result is a significant improvement of the main result in [7].

中文翻译：

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在有限极空间中识别发电机组

我们使用满足自然相交条件的生成器子集来表征嵌入在相同秩的非奇异极空间中的非奇异极空间。通过[7]和[8]，该结果可应用于Cameron-Liebler集的理论。实际上，我们的结果是对[7]中主要结果的重大改进。