论文标题
Hurwitz类型的Kantor系统上的良好等级
Fine gradings on Kantor systems of Hurwitz type
论文作者
论文摘要
在假设基础场是与2。的特征性不同的代数闭合的假设下，我们将Abelian组在Kantor对和与Hurwitz代数相关的三重系统（即Unitial组成代数）上的三重系统上进行分类，以使其对等效性。对于Kantor对，我们还确定了Kantor Construction给出的相关谎言代数的诱导（细）等级。
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.
