Derivation functors and Lusztig's induction functors
Representation Theory
2022-02-02 v1 Quantum Algebra
Rings and Algebras
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.
Cite
@article{arxiv.2202.00430,
title = {Derivation functors and Lusztig's induction functors},
author = {Minghui Zhao},
journal= {arXiv preprint arXiv:2202.00430},
year = {2022}
}