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Matematicheskie Zametki, 2013, Volume 94, Issue 3, Pages 354–372
DOI: https://doi.org/10.4213/mzm9295 (Mi mzm9295) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Homotopy Properties of Differential Lie Modules over Curved Coalgebras and Koszul Duality

S. V. Lapin
Full-text PDF (511 kB) Citations (6)
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DOI: https://doi.org/10.4213/mzm9295
Abstract: The notion of differential Lie module over a curved coalgebra is introduced. The homotopy invariance of the structure of a differential Lie module over a curved coalgebra is proved. A relationship between the homotopy theory of differential Lie modules over curved coalgebras and the theory of Koszul duality for quadratic-scalar algebras over commutative unital rings is determined.
Keywords: differential Lie module over a curved coalgebra, Koszul duality, quadratic-scalar algebra, co-$B$-construction, differential module over a Clifford algebra, differential module over an exterior algebra, SDR-data for differential modules.
Received: 12.12.2011
Revised: 08.04.2012
English version:
Mathematical Notes, 2013, Volume 94, Issue 3, Pages 335–350
DOI: https://doi.org/10.1134/S0001434613090058
Bibliographic databases:
Document Type: Article
UDC: 515.14
Language: Russian
Citation: S. V. Lapin, “Homotopy Properties of Differential Lie Modules over Curved Coalgebras and Koszul Duality”, Mat. Zametki, 94:3 (2013), 354–372; Math. Notes, 94:3 (2013), 335–350
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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