Categorification of the Catalan monoid
Representation Theory
2017-05-10 v2 Group Theory
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.
Cite
@article{arxiv.1211.2597,
title = {Categorification of the Catalan monoid},
author = {Anna-Louise Grensing and Volodymyr Mazorchuk},
journal= {arXiv preprint arXiv:1211.2597},
year = {2017}
}
Comments
11 pages