Koszul duality for compactly generated derived categories of second kind
| Autor: | Ai Guan, Andrey Lazarev |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Algebra and Number Theory
Mathematics::K-Theory and Homology Mathematics::Category Theory FOS: Mathematics Algebraic Topology (math.AT) Category Theory (math.CT) Mathematics - Category Theory Geometry and Topology Mathematics - Algebraic Topology Representation Theory (math.RT) Mathematical Physics Mathematics - Representation Theory |
| Popis: | For any dg algebra $A$ we construct a closed model category structure on dg $A$-modules such that the corresponding homotopy category is compactly generated by dg $A$-modules that are finitely generated and free over $A$ (disregarding the differential). We prove that this closed model category is Quillen equivalent to the category of comodules over a certain, possibly nonconilpotent dg coalgebra, a so-called extended bar construction of $A$. This generalises and complements certain aspects of dg Koszul duality for associative algebras. Updated to the published version; in addition the proof of Theorem 3.10 has been corrected |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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