例外李群中交替群嵌入的共轭性

IF 0.1 Q4 MATHEMATICS

Bulletin of the Institute of Mathematics Academia Sinica New Series Pub Date : 2018-12-01 DOI:10.21915/BIMAS.2018406

Darrin D. Frey, A. Ryba

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引用次数: 2

摘要

讨论了例外李群中交替群嵌入的共轭类。我们确定了子群al10及其双覆盖的E8中嵌入的类数。这涉及到计算和将问题简化为相对特征向量问题。我们更新了以前发布的嵌入表。我们对表格中出现的改进和未解决的共轭问题发表评论。

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Conjugacy of Embeddings of Alternating Groups in Exceptional Lie Groups

We discuss conjugacy classes of embeddings of Alternating groups in Exceptional Lie groups. We settle the count of classes of embeddings in E8 of a subgroup Alt10 and its double cover. This involves computation and the reduction of the problems to relative eigenvector problems. We update previously published tables of embeddings. We comment on the improvements present in our table and on the remaining unsettled conjugacy questions.

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来源期刊

Bulletin of the Institute of Mathematics Academia Sinica New Series MATHEMATICS-

自引率

50.00%

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