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Derivation functors and Lusztig's induction functors

Published 1 Feb 2022 in math.RT, math.QA, and math.RA | (2202.00430v1)

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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