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Categorification of the Catalan monoid
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2014 (English)In: Semigroup Forum, ISSN 0037-1912, E-ISSN 1432-2137, Vol. 89, no 1, 155-168 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2014. Vol. 89, no 1, 155-168 p.
Keyword [en]
Parking functions, Catalan monoid, Algebraic categorization, Projection function
National Category
Mathematics
Identifiers
URN: urn:nbn:se:uu:diva-233109DOI: 10.1007/s00233-013-9510-yISI: 000340870800011OAI: oai:DiVA.org:uu-233109DiVA: diva2:752045
Available from: 2014-10-02 Created: 2014-09-29 Last updated: 2017-12-05Bibliographically approved

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Mazorchuk, Volodymyr

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