论文标题
恒定等级矩阵的模棱两可的空间
Equivariant spaces of matrices of constant rank
论文作者
论文摘要
我们使用表示理论来构建恒定等级矩阵的空间。这些空间通过一般线性组或符号组的自然表示参数化。我们介绍了这个想法的变体，具有更复杂的表示形式，而其他则与正交群体一起。我们的矩阵空间对应于均匀的矢量束，但有时会承认对非均匀矢量束的变形，表明这些矩阵的这些空间有时会允许大型变形家庭。
We use representation theory to construct spaces of matrices of constant rank. These spaces are parametrized by the natural representation of the general linear group or the symplectic group. We present variants of this idea, with more complicated representations, and others with the orthogonal group. Our spaces of matrices correspond to vector bundles which are homogeneous but sometimes admit deformations to non-homogeneous vector bundles, showing that these spaces of matrices sometimes admit large families of deformations.
