Some homological properties of category $\mathcal{O}$, VII
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866917957377982464 |
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| author | Mazorchuk, Volodymyr |
| author_facet | Mazorchuk, Volodymyr |
| contents | We describe Calabi-Yau objects in the regular block of the (parabolic) BGG category $\mathcal{O}$ associated to a semi-simple finite dimensional complex Lie algebra. Each such object comes with a natural transformation from the Serre functor to a shifted identity whose evaluation at that object is an isomorphism. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05258 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some homological properties of category $\mathcal{O}$, VII Mazorchuk, Volodymyr Representation Theory We describe Calabi-Yau objects in the regular block of the (parabolic) BGG category $\mathcal{O}$ associated to a semi-simple finite dimensional complex Lie algebra. Each such object comes with a natural transformation from the Serre functor to a shifted identity whose evaluation at that object is an isomorphism. |
| title | Some homological properties of category $\mathcal{O}$, VII |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2403.05258 |