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arXiv · 2202.00430

Derivation functors and Lusztig's induction functors

Minghui Zhao
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Abstract

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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Minghui Zhao. 2022-02-01. Derivation functors and Lusztig's induction functors. https://arxiv.org/abs/2202.00430

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