Kantor 对的 Weyl 像
环与代数
2019-08-15 v2
摘要
Kantor 对自然地出现在 5-阶李代数的研究中。在本文中,我们开始研究任意维数的单 Kantor 对。我们引入了 Kantor 对的 Weyl 像,并利用它们构造 Kantor 对的例子,包括一类新的中心单 Kantor 对。
引用
@article{arxiv.1404.3339,
title = {Weyl images of Kantor pairs},
author = {Bruce Allison and John Faulkner and Oleg Smirnov},
journal= {arXiv preprint arXiv:1404.3339},
year = {2019}
}
备注
43 pages. In the last section of this new version, the assumption that the ring of scalars is a field is dropped. This allows the construction of many forms of split Kantor pairs of type $E_6$ over rings. To facilitate this change, some small revisions are made in earlier sections. To be published in the Canadian Journal of Mathematics