##  [Symmetric Operad](/index.php/symmetric-operad) 

  ##  [Symmetric Operad](https://algebra.quantumdictionary.io/symmetric-operad-0) 

  

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- Pure Mathematics -

**Algebra Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An operad enriched with a compatible action of the symmetric group S_n on its set (or space) of n-ary operations for each n, so that operations are well-defined up to permutation of inputs and the composition maps respect those permutation actions.