$Q$-shaped derived categories as derived categories of differential graded bimodules
Representation Theory
2025-06-30 v3
Abstract
We prove that, under mild assumptions, the -shaped derived categories introduced by Holm and J{\o}rgensen are equivalent to derived categories of differential graded bimodules over differential graded categories. This yields new derived invariance results for -shaped derived categories that allow us to extend known descriptions of such categories as derived categories of differential graded bimodules over (possibly graded) algebras.
Cite
@article{arxiv.2501.08255,
title = {$Q$-shaped derived categories as derived categories of differential graded bimodules},
author = {Gustavo Jasso},
journal= {arXiv preprint arXiv:2501.08255},
year = {2025}
}
Comments
30 pages. v2: Corrected several typos, improved introduction, added remark on relation to Lurie's k-linear tensor product. v3: Edits following referee report