Categorification of the Catalan monoid

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.

11 pages

References in corpus (6)

• 2-Kac-Moody algebras
• Categorification of the braid groups
• On Kiselman quotients of 0-Hecke monoids
• On Kiselman's semigroup
• Effective representations of Hecke-Kiselman monoids of type A
• Additive versus abelian 2-representations of fiat 2-categories

Cited by in corpus (1)

• Effective representations of Hecke-Kiselman monoids of type A