Categorification of the Catalan monoid
classification
🧮 math.RT
math.GR
keywords
monoidadditivealgebracatalancategorificationcategorychainconstruct
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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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