Geodesic
Homotopy Properties of Differential Lie Modules over Curved Coalgebras and Koszul Duality
Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 354-372

Voir la notice de l'article provenant de la source Math-Net.Ru

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, differential module over a Clifford algebra, differential module over an exterior algebra, SDR-data for differential modules.
Mots-clés : co-$B$-construction 
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     author = {S. V. Lapin},
     title = {Homotopy {Properties} of {Differential} {Lie} {Modules} over {Curved} {Coalgebras} and {Koszul} {Duality}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {354--372},
     publisher = {mathdoc},
     volume = {94},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a4/}
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S. V. Lapin. Homotopy Properties of Differential Lie Modules over Curved Coalgebras and Koszul Duality. Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 354-372. http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a4/