$Q$形衍生范畴作为微分graded双模范畴的衍生范畴
表示论
2025-06-30 v3
摘要
我们在轻度假设下证明了Holm和 J{\o}rgensen 引入的 形衍生范畴等价于微分graded双模范畴的衍生范畴。这一结果为 形衍生范畴的新的不变量性结果提供了可能性，从而允许我们扩展已知的此类范畴可表示为微分graded双模范畴的描述，这些双模范畴可定义在（可能带grade的）代数上。
关键词
引用
@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}
}
备注
30 pages. v2: Corrected several typos, improved introduction, added remark on relation to Lurie's k-linear tensor product. v3: Edits following referee report