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}
}
• Published 12 November 2012
• Mathematics
• Semigroup Forum
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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