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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/2505.07144 |
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| _version_ | 1866915959922491392 |
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| author | Baine, Joe Fell, Tasman Romanov, Anna Sherman, Alexander Williamson, Geordie |
| author_facet | Baine, Joe Fell, Tasman Romanov, Anna Sherman, Alexander Williamson, Geordie |
| contents | We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a tensor functor and sends every standard and costandard object in the principal block to a one-dimensional object. We connect our functor to recent work of Gruber and conjecture that our functor is equivalent to hypercohomology under the equivalence of the Finkelberg-Mirkovic conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_07144 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A remarkable functor on $G$-modules Baine, Joe Fell, Tasman Romanov, Anna Sherman, Alexander Williamson, Geordie Representation Theory We introduce a new functor on categories of modular representations of reductive algebraic groups. Our functor has remarkable properties. For example it is a tensor functor and sends every standard and costandard object in the principal block to a one-dimensional object. We connect our functor to recent work of Gruber and conjecture that our functor is equivalent to hypercohomology under the equivalence of the Finkelberg-Mirkovic conjecture. |
| title | A remarkable functor on $G$-modules |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2505.07144 |