# Radon transforms of twisted D-modules on partial flag varieties

## TL;DR

This paper investigates Radon transforms of twisted D-modules on partial flag varieties, establishing their role in category equivalences and their compatibility with global sections, advancing representation theory of semisimple Lie algebras.

## Contribution

It generalizes previous results by demonstrating that intertwining functors induce derived category equivalences and are compatible with global sections.

## Key findings

- Intertwining functors give equivalences of derived categories.
- Radon transforms are compatible with taking global sections.
- Generalization of Marastoni's result on D-modules.

## Abstract

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.