论文标题
对称矩阵的约旦代数
Jordan Algebras of Symmetric Matrices
论文作者
论文摘要
我们研究对称矩阵的线性空间,其倒数也是线性空间。这些是约旦代数。我们将这种代数分类为低维度,并研究格拉斯曼尼亚的约旦基因座。
We study linear spaces of symmetric matrices whose reciprocal is also a linear space. These are Jordan algebras. We classify such algebras in low dimensions, and we study the associated Jordan loci in the Grassmannian.