From simple-minded collections to silting objects via Koszul duality

2016/09/13 by Hao Su, Dong Yang, Su, Hao +1
Mathematics · Physics and Astronomy · #16E45 #18E30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:16E45 #msc:18E30

paper · pdf · doi:10.48550/arxiv.1609.03767

20 pages. To appear in Algebra and Representation Theory

openalex publication_date 2016/09/13 · arxiv created 2018/01/08 · arxiv updated 2018/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

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• Derived equivalences induced by good silting complexes
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• Non-homogeneous Koszul duality in representation theory