Transactions of the American Mathematical Society

Author(s): Benoit Fresse
Journal: Trans. Amer. Math. Soc. 352 (2000), 4113-4141.
MSC (1991): Primary 18C15, 18G30; Secondary 55S99, 55U10
Posted: October 5, 1999
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (1991): 18C15, 18G30, 55S99, 55U10

Benoit Fresse
Affiliation: Laboratoire J.A. Dieudonné, Université de Nice, Parc Valrose, F-06108 Nice Cedex 02, France
Email: fresse@math.unice.fr

DOI: 10.1090/S0002-9947-99-02489-7
PII: S 0002-9947(99)02489-7
Received by editor(s): February 17, 1998
Posted: October 5, 1999
Copyright of article: Copyright 2000, American Mathematical Society

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