Partitioned binary relations
2013 (English)In: Mathematica Scandinavica, ISSN 0025-5521, Vol. 113, no 1, 30-52 p.Article in journal (Refereed) Published
We define the category of partitioned binary relations and show that it contains many classical diagram categories, including categories of binary relations, maps, injective maps, partitions, (oriented) Brauer diagrams and (oriented) Temperley-Lieb diagrams. We construct a one-parameter deformation of the category of partitioned binary relations and show that it gives rise to classical one-parameter deformations of partition, Brauer and Temperley-Lieb categories. Finally, we describe a factorization of partitioned binary relations into a product of certain idempotents and pairs of usual binary relations.
Place, publisher, year, edition, pages
2013. Vol. 113, no 1, 30-52 p.
IdentifiersURN: urn:nbn:se:uu:diva-210759ISI: 000325836900003OAI: oai:DiVA.org:uu-210759DiVA: diva2:664182