The Image of Functor Morphing
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908916987723776 |
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| author | Meir, Ehud |
| author_facet | Meir, Ehud |
| contents | Functor morphing provides a method to translate complex representations of automorphism groups of finite modules over finite rings to representations of automorphism groups of functors in some abelian category. In this paper we give an explicit criterion for a representation to be in the image of functor morphing using the action of parabolic subgroups. We then demonstrate this criterion on Borel groups of finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_26368 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Image of Functor Morphing Meir, Ehud Representation Theory Category Theory Rings and Algebras 20G40, 20C05, 16E20, 16G10, 18G10 Functor morphing provides a method to translate complex representations of automorphism groups of finite modules over finite rings to representations of automorphism groups of functors in some abelian category. In this paper we give an explicit criterion for a representation to be in the image of functor morphing using the action of parabolic subgroups. We then demonstrate this criterion on Borel groups of finite fields. |
| title | The Image of Functor Morphing |
| topic | Representation Theory Category Theory Rings and Algebras 20G40, 20C05, 16E20, 16G10, 18G10 |
| url | https://arxiv.org/abs/2603.26368 |