English

Radon transforms of twisted D-modules on partial flag varieties

Representation Theory 2025-04-21 v2

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.

Keywords

Cite

@article{arxiv.1701.02655,
  title  = {Radon transforms of twisted D-modules on partial flag varieties},
  author = {Kohei Yahiro},
  journal= {arXiv preprint arXiv:1701.02655},
  year   = {2025}
}
R2 v1 2026-06-22T17:46:18.818Z