Ordnung muss sein
Fuente:
arXiv
Salvato in:
| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866917384878555136 |
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| author | Krause, Henning |
| author_facet | Krause, Henning |
| contents | For any length category, we establish a set of rules (necessary and sufficient) that ensure a partial order on the isomorphism classes of simple objects such that the category is equivalent to the category of finite dimensional representations of this partially ordered set. Equivalently, we characterise the length categories that arise as categories of modules over a sheaf of division rings on a finite $T_0$-space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01316 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Ordnung muss sein Krause, Henning Representation Theory Category Theory Rings and Algebras 16G20 (primary), 18E10 (secondary) For any length category, we establish a set of rules (necessary and sufficient) that ensure a partial order on the isomorphism classes of simple objects such that the category is equivalent to the category of finite dimensional representations of this partially ordered set. Equivalently, we characterise the length categories that arise as categories of modules over a sheaf of division rings on a finite $T_0$-space. |
| title | Ordnung muss sein |
| topic | Representation Theory Category Theory Rings and Algebras 16G20 (primary), 18E10 (secondary) |
| url | https://arxiv.org/abs/2602.01316 |