论文标题
规律性和稳定的FI模型范围
Regularity and stable ranges of FI-modules
论文作者
论文摘要
我们为FI模块的规律性和FI模块的稳定范围提供了精致的边界，以在表示稳定性文献中研究了各种形式的稳定性。我们表明，在某些情况下，我们的界限很尖锐。我们将其应用于对角线共骨的显式稳定范围，并改进这些歧管的有序配置空间和一般线性组的一致性亚组的有序配置空间。
We give refined bounds for the regularity of FI-modules and the stable ranges of FI-modules for various forms of their stabilization studied in the representation stability literature. We show that our bounds are sharp in several cases. We apply these to get explicit stable ranges for diagonal coinvariant algebras, and improve those for ordered configuration spaces of manifolds and congruence subgroups of general linear groups.
