representation, ∞-representation?
symmetric monoidal (∞,1)-category of spectra
The commutative operad is the operad whose algebras over an operad are commutative monoids in the ambient enriching category, hence the commutative algebras if interpreted in vector spaces and the differential graded-commutative algebras if interpreted in chain complexes.
Its cofibrant resolutions in the model structure on operads are E-infinity operads? whose algebras are E-infinity algebras.
commutative operad
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