Functor morphing and representations of automorphism groups of modules
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915031174610944 |
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| author | Crisp, Tyrone Meir, Ehud Onn, Uri |
| author_facet | Crisp, Tyrone Meir, Ehud Onn, Uri |
| contents | We introduce a strategy to study irreducible representations of automorphism groups of finite modules over local rings. We prove that these automorphism groups fit in a hierarchy that facilitates a stratification of their irreducible representations in terms of smaller building blocks using symmetric monoidal categories and invariant theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_03248 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Functor morphing and representations of automorphism groups of modules Crisp, Tyrone Meir, Ehud Onn, Uri Representation Theory 22E50 (Primary) 20G25, 20C33, 20C15, 20C07, 18M05 (Secondary) We introduce a strategy to study irreducible representations of automorphism groups of finite modules over local rings. We prove that these automorphism groups fit in a hierarchy that facilitates a stratification of their irreducible representations in terms of smaller building blocks using symmetric monoidal categories and invariant theory. |
| title | Functor morphing and representations of automorphism groups of modules |
| topic | Representation Theory 22E50 (Primary) 20G25, 20C33, 20C15, 20C07, 18M05 (Secondary) |
| url | https://arxiv.org/abs/2308.03248 |