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arxiv: 2501.08255 · v3 · pith:4JGRBHCA · submitted 2025-01-14 · math.RT

Q-shaped derived categories as derived categories of differential graded bimodules

Gustavo Jasso This is my paper

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classification math.RT
keywords categoriesderivedgradeddifferentialbimodulesshapedalgebrasallow
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We prove that, under mild assumptions, the $Q$-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 $Q$-shaped derived categories that allow us to extend known descriptions of such categories as derived categories of differential graded bimodules over (possibly graded) algebras.

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