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From simple-minded collections to silting objects via Koszul duality

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Abstract

Given an elementary simple-minded collection in the derived category of a non-positive dg algebra with finite-dimensional total cohomology, we construct a silting object via Koszul duality.

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Acknowledgments

The first-named author is deeply indebted to the second-named author for his guidance and help. The second-named author would like to thank Mark Blume for valuable remarks on an earlier version. He acknowledges support from the National Science Foundation in China No. 11401297 and a project funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.

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Correspondence to Dong Yang.

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Presented by Steffen Koenig.

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Su, H., Yang, D. From simple-minded collections to silting objects via Koszul duality. Algebr Represent Theor 22, 219–238 (2019). https://doi.org/10.1007/s10468-018-9763-y

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  • DOI: https://doi.org/10.1007/s10468-018-9763-y

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