论文标题

紧凑的谎言组的图片(塞雷之后)

Pictures of compact Lie groups (after Serre)

论文作者

Garibaldi, Skip

论文摘要

我们在Serre概述的过程中填写细节,用于绘制紧凑的真实谎言组的图片。对于SP($ 2N $),该方法生成的图片与数字字段或有限字段的Abelian品种连接。我们遵循该过程,为三个简单连接的简单组2的图片产生图片。其中两个图片以前在文献中已经在不同的环境中进行了讨论。其余的$ G_2 $类型是最复杂的图片。

We fill in the details in a procedure outlined by Serre for drawing pictures of compact real Lie groups. In the case of Sp($2n$), the picture generated by the method is connected with abelian varieties over a number field or a finite field. We follow the procedure to produce pictures for the three simply connected simple groups of rank 2. The pictures for two of these have previously been discussed in the literature in a different setting. The remaining one, type $G_2$, has the most complicated picture.

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