Koszulity for semi-infinite highest weight categories
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908403892224000 |
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| author | Heidersdorf, Thorsten Nehme, Jonas Stroppel, Catharina |
| author_facet | Heidersdorf, Thorsten Nehme, Jonas Stroppel, Catharina |
| contents | We show that any upper finite or essentially finite highest weight category where the standard objects have linear projective resolutions and the costandard objects have linear injective resolutions is Koszul. This extends the result of Agoston, Dlab, and Lukacs to the case of infinite highest weight categories. We apply this result to Khovanov algebras and representations of classical Deligne categories and show that these are Koszul. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_09246 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Koszulity for semi-infinite highest weight categories Heidersdorf, Thorsten Nehme, Jonas Stroppel, Catharina Representation Theory 16S37 16S37 16S37 16S37, 18G10, 17B10 We show that any upper finite or essentially finite highest weight category where the standard objects have linear projective resolutions and the costandard objects have linear injective resolutions is Koszul. This extends the result of Agoston, Dlab, and Lukacs to the case of infinite highest weight categories. We apply this result to Khovanov algebras and representations of classical Deligne categories and show that these are Koszul. |
| title | Koszulity for semi-infinite highest weight categories |
| topic | Representation Theory 16S37 16S37 16S37 16S37, 18G10, 17B10 |
| url | https://arxiv.org/abs/2506.09246 |