仿射Grassmannian簇的生成
Generating varieties for affine Grassmannians
摘要：
本文研究了仿射格拉斯曼群上的拓扑群结构（来自循环乘法）。特别是，我们研究有限维子簇生成的同调环。我们表明，有一个典型的家庭生成舒伯特品种，即那些定义的负面的coroot相关的最高根。这些不仅生成同调，而且生成精确意义上的仿射格拉斯曼本身。
英文摘要：
We study the topological group structure (coming from loop multiplication) on an affine Grassmannian. In particular, we study finite-dimensional subvarieties that generate the homology ring. We show that there is a canonical family of generating Schubert varieties, namely those defined by the negative of the coroot associated to the highest root. These not only generate the homology, but generate the affine Grassmannian itself in a precise sense.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
