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S-object

In algebraic topology, an -object is a sequence of objects such that each comes with an action of the symmetric group .

S-module
By \mathbb{S}-module, we mean an \mathbb{S}-object in the category \mathsf{Vect} of finite-dimensional vector spaces over a field k of characteristic zero (the symmetric groups act from the right by convention). Then each \mathbb{S}-module determines a Schur functor on \mathsf{Vect}. This definition of \mathbb{S}-module shares its name with the considerably better-known model for highly structured ring spectra due to Elmendorf, Kriz, Mandell and May. == See also ==
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