论文标题
跨产品，自动形态和等级
Cross products, automorphisms, and gradings
论文作者
论文摘要
确定了有限维矢量空间，在特征范围内确定了多律R-折叠产品的仿射组方案。阿贝尔群体对这些结构的成绩，与对角度分组方案的形态相对应，直到同构。
The affine group schemes of automorphisms of the multilinear r-fold cross products on finite-dimensional vectors spaces over fields of characteristic not two are determined. Gradings by abelian groups on these structures, that correspond to morphisms from diagonalizable group schemes into these group schemes of automorphisms, are completely classified, up to isomorphism.
