$Q$-shaped derived categories as derived categories of differential graded bimodules
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916811924045824 |
|---|---|
| author | Jasso, Gustavo |
| author_facet | Jasso, Gustavo |
| contents | We prove that, under mild assumptions, the $Q$-shaped derived categories introduced by Holm and Jørgensen are equivalent to derived categories of differential graded bimodules over differential graded categories. This yields new derived invariance results for $Q$-shaped derived categories that allow us to extend known descriptions of such categories as derived categories of differential graded bimodules over (possibly graded) algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_08255 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | $Q$-shaped derived categories as derived categories of differential graded bimodules Jasso, Gustavo Representation Theory Primary: 18G80. Secondary: 18G35 We prove that, under mild assumptions, the $Q$-shaped derived categories introduced by Holm and Jørgensen are equivalent to derived categories of differential graded bimodules over differential graded categories. This yields new derived invariance results for $Q$-shaped derived categories that allow us to extend known descriptions of such categories as derived categories of differential graded bimodules over (possibly graded) algebras. |
| title | $Q$-shaped derived categories as derived categories of differential graded bimodules |
| topic | Representation Theory Primary: 18G80. Secondary: 18G35 |
| url | https://arxiv.org/abs/2501.08255 |