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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.12798 |
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| _version_ | 1866914438131482624 |
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| author | Ho, Quoc P. Li, Penghui |
| author_facet | Ho, Quoc P. Li, Penghui |
| contents | We prove a conjecture of Gorsky, Hogancamp, Mellit, and Nakagane in the Weyl group case. Namely, we show that the left and right adjoints of the parabolic induction functor between the associated Hecke categories of Soergel bimodules differ by the relative full twist. This exhibits a relative Serre duality pattern for the Hecke categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12798 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Relative Serre duality for Hecke categories Ho, Quoc P. Li, Penghui Representation Theory Algebraic Geometry 20C08, 18N25, 57K18 We prove a conjecture of Gorsky, Hogancamp, Mellit, and Nakagane in the Weyl group case. Namely, we show that the left and right adjoints of the parabolic induction functor between the associated Hecke categories of Soergel bimodules differ by the relative full twist. This exhibits a relative Serre duality pattern for the Hecke categories. |
| title | Relative Serre duality for Hecke categories |
| topic | Representation Theory Algebraic Geometry 20C08, 18N25, 57K18 |
| url | https://arxiv.org/abs/2504.12798 |