Polynomial functors in $\text{Ver}_4^+$
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866918385552457728 |
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| author | Coulembier, Kevin Hu, Serina |
| author_facet | Coulembier, Kevin Hu, Serina |
| contents | We study polynomial functors in the incompressible category $\text{Ver}_4^+$, which can be viewed as super polynomial functors in characteristic 2. Concretely, we classify additive, exact and simple polynomial functors, and describe how simple polynomial functors evaluate on arbitrary objects. We also determine which objects are not annihilated by any polynomial functors of a given degree and for which objects the symmetric group algebra acts faithfully via the braiding. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18175 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Polynomial functors in $\text{Ver}_4^+$ Coulembier, Kevin Hu, Serina Representation Theory We study polynomial functors in the incompressible category $\text{Ver}_4^+$, which can be viewed as super polynomial functors in characteristic 2. Concretely, we classify additive, exact and simple polynomial functors, and describe how simple polynomial functors evaluate on arbitrary objects. We also determine which objects are not annihilated by any polynomial functors of a given degree and for which objects the symmetric group algebra acts faithfully via the braiding. |
| title | Polynomial functors in $\text{Ver}_4^+$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2510.18175 |