Radon transforms of twisted D-modules on partial flag varieties
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arXiv
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| Format: | Preprint |
| Published: |
2017
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| _version_ | 1866910913613791232 |
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| author | Yahiro, Kohei |
| author_facet | Yahiro, Kohei |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1701_02655 |
| institution | arXiv |
| publishDate | 2017 |
| record_format | arxiv |
| spellingShingle | Radon transforms of twisted D-modules on partial flag varieties Yahiro, Kohei Representation Theory 17B10 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. |
| title | Radon transforms of twisted D-modules on partial flag varieties |
| topic | Representation Theory 17B10 |
| url | https://arxiv.org/abs/1701.02655 |