Geodesic
Differential Lie Modules over Curved Colored Coalgebras and $\infty$-Simplicial Modules
Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 709-731

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The notion of differential Lie module over a curved colored coalgebra is introduced. The homotopy invariance of the structure of differential Lie module over a curved colored coalgebra is proved. The notion of $\infty$-simplicial module is introduced using the construction of a differential Lie module over a curved colored coalgebra and the Koszul duality theory for quadratic-scalar colored algebras. The homotopy invariance of the structure of a $\infty$-simplicial module is proved.
Keywords: differential Lie module, curved colored coalgebra, $\infty$-simplicial module. 
@article{MZM_2014_96_5_a7,
     author = {S. V. Lapin},
     title = {Differential {Lie} {Modules} over {Curved} {Colored} {Coalgebras} and $\infty${-Simplicial} {Modules}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {709--731},
     publisher = {mathdoc},
     volume = {96},
     number = {5},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a7/}
}
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S. V. Lapin. Differential Lie Modules over Curved Colored Coalgebras and $\infty$-Simplicial Modules. Matematičeskie zametki, Tome 96 (2014) no. 5, pp. 709-731. http://geodesic.mathdoc.fr/item/MZM_2014_96_5_a7/