Partitioned binary relations

Details Partitioned binary relations Partitioned binary relations

2011-02-04

arxiv.org/abs/1102.0862v1

Mathematics

Representation Theory

20 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Partitioned binary relations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Partitioned binary relations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Partitioned binary relations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-491622