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Crossed modules and cohomology of algebras over an operad

Leray, Johan et al.
arXiv (All) · Papers
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algebraic-topologycategory-theoryk-theory-and-homology
We introduce a general definition of a $n$-crossed module of $P$-algebras over an algebraic operad $P$, which coincides with historical definitions in the cases of the operads As and Lie and $n = 1$. We establish a natural isomorphism between the abelian group of equivalence classes of $n$-crossed m
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