• Corpus ID: 235265922

# Schur Functors and Categorified Plethysm

@inproceedings{Baez2021SchurFA,
title={Schur Functors and Categorified Plethysm},
author={John C. Baez and Joe Moeller and Todd Trimble},
year={2021}
}
• Published 1 June 2021
• Mathematics
It is known that the Grothendieck group of the category of Schur functors is the ring of symmetric functions. This ring has a rich structure, much of which is encapsulated in the fact that it is a ‘plethory’: a monoid in the category of birings with its substitution monoidal structure. We show that similarly the category of Schur functors is a ‘2-plethory’, which descends to give the plethory structure on symmetric functions. Thus, much of the structure of symmetric functions exists at a higher…
1 Citations
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• Mathematics
• 2021
We propose the notion of differential 2-rig, a category R equipped with coproducts and a monoidal structure distributing over them, also equipped with an endofunctor m : R → R that satisfies a

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