论文标题
矩形类型nilpotents的仿射弹簧纤维和仿射基质球结构
Affine Springer Fibers and the Affine Matrix Ball Construction for Rectangular Type Nilpotents
论文作者
论文摘要
在本文中，我们研究了Aggine Springer Fiber $ \ MATHCAL {f} l_n $ in Type $ a $ in type $ a $用于矩形类型的半元素nil-element $ n $，并计算了不可减少组件之间的相对位置。特别是，我们使用仿射基质球结构来显示相对位置图与Kazhdan-Lusztig细胞结构兼容，从而概括了Steinberg和van Leeuwen的工作。
In this paper, we study the affine Springer fiber $\mathcal{F} l_N$ in type $A$ for rectangular type semisimple nil-element $N$ and calculate the relative position between irreducible components. In particular, we use the affine matrix ball construction to show the relative position map is compatible with the Kazhdan-Lusztig cell structure, generalizing the work of Steinberg and van Leeuwen.
