alexa Cohomology and duality for coalgebras over a quadratic operad

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Cohomology and duality for coalgebras over a quadratic operad

The cohomology of a finite-dimensional coalgebra over a finitely generated quadratic operad, with coefficients in itself, is defined and is shown to have the structure of a graded Lie algebra. The cohomology of such a coalgebra is isomorphic to the cohomology of its linear dual as graded Lie algebras.

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