In this paper we study intertwining functors (Radon transforms) for twisted D-modules on partial flag varieties and their relation to the representations of semisimple Lie algebras. We show that certain intertwining functors give equivalences of derived categories of twisted D-modules. This is a generalization of a result by Marastoni. We also show that these intertwining functors from dominant to antidominant direction are compatible with taking global sections.
Wide subalgebras of semisimple Lie algebras
Blocks of the category $\mathcal{O}^\mathfrak{p}$ in type $E$
Dimensions of modular irreducible representations of semisimple Lie algebras
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