论文标题
与各向同性规范的Okubo代数
Okubo algebras with isotropic norm
论文作者
论文摘要
Okubo代数构成了维数8的重要类别代数。与Unital组成代数发生的情况相反，它们不是由它们的乘法规范决定的。具有各向同性规范的Okubo代数在这里以特殊的分级存在来表征。在拆分案例中，在对地面的一些限制下，这些等级中最对称的自动形态组是投射的统一组PU（3,4），其结构由分级展示。
Okubo algebras form an important class of nonunital composition algebras of dimension 8. Contrary to what happens for unital composition algebras, they are not determined by their multiplicative norms. Okubo algebras with isotropic norm are characterized here by the existence of a special grading. In the split case, and under some restrictions on the ground field, the automorphism group of the most symmetric of these gradings is the projective unitary group PU(3,4), whose structure is showcased by the grading.
