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On the Functional Representation of Abstract Clones

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If you have a question about this talk, please contact Nathan Bowler.

I will present a simple construction showing that every abstract clone (equivalently, mono-sorted Lawvere theory) can be represented as the clone of equivariant functions on a monoid action.

The method does not seem adaptable to the representation of operads; though, aiming in this direction, I will give a characterisation of the operadic abstract clones.

This talk is part of the Category Theory Seminar series.

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