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.
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