Homotopy operations for simplicial commutative algebras

Dwyer, W. G.

doi:10.1090/S0002-9947-1980-0574789-7

Homotopy operations for simplicial commutative algebras
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by W. G. Dwyer

Trans. Amer. Math. Soc. 260 (1980), 421-435

DOI: https://doi.org/10.1090/S0002-9947-1980-0574789-7

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Abstract:

The indicated operation algebra is studied by methods dual to the usual ones for studying the Steenrod algebra. In particular, the operations are constructed using higher symmetries of the shuffle map and their “Adem relations” are computed using the transfer map in the cohomology of symmetric groups.

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Operations on derived functors of non-additive functors