论文标题

推导函子和Lusztig的感应函子

Derivation functors and Lusztig's induction functors

论文作者

Zhao, Minghui

论文摘要

卢斯蒂格(Lusztig)证明了诱导函数和限制性函数的兼容性,卢斯蒂格(Lusztig)的不良滑轮的兼容性。 Fang-lan-Xiao建立了格林公式的分类,并为所有半神经复合物提供了融资级别的证明。作为应用程序,我们研究了感应函子与推导函数之间的关系,这是一种特殊的限制函子。

Lusztig proved the compatibility of induction functors and restriction functors for Lusztig's perverse sheaves. Fang-Lan-Xiao established a categorification of Green's formula and gave a sheaf-level proof of this compatibility for all semisimple complexes. As an application, we study the relation between induction functors and derivation functors, which is a kind of special restriction functors.

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