Radon Transforms of Twisted D-Modules on Partial Flag Varieties
Kohei Yahiro
University of Tokyo, Japan
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Abstract
In this paper we study intertwining functors 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.
Cite this article
Kohei Yahiro, Radon Transforms of Twisted D-Modules on Partial Flag Varieties. Publ. Res. Inst. Math. Sci. 53 (2017), no. 4, pp. 597–627
DOI 10.4171/PRIMS/53-4-5