Abstract
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 ∞-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 ∞-simplicial module is proved.
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Original Russian Text © S. V. Lapin, 2014, published in Matematicheskie Zametki, 2014, Vol. 96, No. 5, pp. 709–731.
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Lapin, S.V. Differential Lie modules over curved colored coalgebras and ∞-simplicial modules. Math Notes 96, 698–715 (2014). https://doi.org/10.1134/S0001434614110091
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DOI: https://doi.org/10.1134/S0001434614110091