Abstract algebra | Category theory

Operad

In mathematics, an operad is a structure that consists of abstract operations, each one having a fixed finite number of inputs (arguments) and one output, as well as a specification of how to compose these operations. Given an operad , one defines an algebra over to be a set together with concrete operations on this set which behave just like the abstract operations of . For instance, there is a Lie operad such that the algebras over are precisely the Lie algebras; in a sense abstractly encodes the operations that are common to all Lie algebras. An operad is to its algebras as a group is to its group representations. (Wikipedia).

Operad
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Johan Alm: Brown's dihedral moduli space and freedom of the gravity operad

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From playlist HIM Lectures: Junior Trimester Program "Topology"

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From playlist Opera Glossary

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K. Ebrahimi-Fard: An operadic derivation of twisted factorisation for operator-valued T-transform

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