Drinfeld-Gaitsgory functor and Matsuki duality
Representation Theory
2021-12-30 v1
Abstract
Let G be a connected complex reductive group and let K be a symmetric subgroup of G. We prove a formula for the Drinfeld-Gaitsgory functor for the dg-category of K-equivariant sheaves on the flag manifold of G in terms of the Matsuki duality functor. As byproducts, we obtain a description of the Serre functor and the Deligne-Lusztig duality for (g,K)-modules.
Cite
@article{arxiv.2112.14296,
title = {Drinfeld-Gaitsgory functor and Matsuki duality},
author = {Tsao-Hsien Chen},
journal= {arXiv preprint arXiv:2112.14296},
year = {2021}
}
Comments
11 pages