Preservation of Loewy Diagrams Under Exact Functors
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866909090172633088 |
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| author | Rupert, Matthew |
| author_facet | Rupert, Matthew |
| contents | We derive sufficient conditions for exact functors on locally finite abelian categories to preserve Loewy diagrams of objects. We apply our results to determine sufficient conditions for induction functors associated to simple current extensions of vertex algebras to preserve Loewy diagrams. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_01187 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Preservation of Loewy Diagrams Under Exact Functors Rupert, Matthew Category Theory 18E10 We derive sufficient conditions for exact functors on locally finite abelian categories to preserve Loewy diagrams of objects. We apply our results to determine sufficient conditions for induction functors associated to simple current extensions of vertex algebras to preserve Loewy diagrams. |
| title | Preservation of Loewy Diagrams Under Exact Functors |
| topic | Category Theory 18E10 |
| url | https://arxiv.org/abs/2305.01187 |