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Categorification of the Catalan monoid |
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| Authors: | Anna-Louise Grensing Volodymyr Mazorchuk |
| Affiliation: | 1. Bergische Universit?t Wuppertal, Gaussstrasse 20, 42119, Wuppertal, Germany 2. Department of Mathematics, Uppsala University, Box 480, 751 06, Uppsala, Sweden |
| Abstract: | 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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