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On the homotopy of simplicial algebras over an operad
Benoit Fresse
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Source: Crossref
Published: Oct 5, 1999
DOI: 10.1090/s0002-9947-99-02489-7
Open original source ↗Source 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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