On the homotopy of simplicial algebras over an operad |
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| Authors: | Benoit Fresse |
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| Affiliation: | Laboratoire J.A. Dieudonné, Université de Nice, Parc Valrose, F-06108 Nice Cedex 02, France |
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| Abstract: | According to a result of H. Cartan, the homotopy of a simplicial commutative algebra is equipped with divided power operations. In this article, we show how to extend this result to other kinds of algebras. For instance, we prove that the homotopy of a simplicial Lie algebra is equipped with the structure of a restricted Lie algebra. |
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