# Categorification of the Catalan monoid

@article{Grensing2012CategorificationOT, title={Categorification of the Catalan monoid}, author={Anna-Louise Grensing and Volodymyr Mazorchuk}, journal={Semigroup Forum}, year={2012}, volume={89}, pages={155-168} }

We construct a finitary additive 2-category whose Grothendieck ring is isomorphic to the semigroup algebra of the monoid of order-decreasing and order-preserving transformations of a finite chain.

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