Ribbon graphs and the Temperley-Lieb Algebra

Details Ribbon graphs and the Temperley-Lieb Algebra Ribbon graphs and the Temperley-Lieb Algebra

2012-03-27

arxiv.org/abs/1203.5922v1

Mathematics

Geometric Topology

12 pages

Scientific paper

Let $n$ be a nonnegative integer, we use ribbon $n-$graph diagrams and the Yamada polynomial skein relations to construct an algebra ${\mathcal Y}_n$ which is shown to be closely related to the Temerley-Lieb Algebra. We prove that the algebra ${\mathcal Y}_2$ is isomorphic to some quotient of a three variables polynomial algebra. Then, we give a family of generators for the algebra ${\mathcal Y}_3$.

Affiliated with

Also associated with

No associations

Rating

Ribbon graphs and the Temperley-Lieb Algebra 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 Ribbon graphs and the Temperley-Lieb Algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ribbon graphs and the Temperley-Lieb Algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-640340