Hurwitz型Kantor系统的精细分级
Fine gradings on Kantor systems of Hurwitz type
摘要：
给出了与Hurwitz代数相关的Kantor对和三元系上的阿贝尔群的细群分次的等价分类（即，酉复合代数），在假设基域是代数闭的特征不等于2的情况下。计算了泛群和相应的外尔群.我们还确定，在Kantor对的情况下，诱导（细）分级相关的李代数给出的Kantor建设。
英文摘要：
We give a classification up to equivalence of the fine group gradings by abelian groups on the Kantor pairs and triple systems associated to Hurwitz algebras (i.e., unital composition algebras), under the assumption that the base field is algebraically closed of characteristic different from 2. The universal groups and associated Weyl groups are computed. We also determine, in the case of Kantor pairs, the induced (fine) gradings on the associated Lie algebras given by the Kantor construction.
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