Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams

Details Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams

2010-12-03

arxiv.org/abs/1012.0640v2

Mathematics

Combinatorics

A slightly cleaned-up version of my master's project (Queen's University, 2006), unpublished

Scientific paper

We describe an inner product on the diagrams on which the Temperley-Lieb algebra can be represented. We exhibit several constructions which are in natural combinatorial bijection with these diagrams, which are generalizations of various constructions counted by the Catalan numbers. We use a method similar to the existing ones for orthogonalizing the Temperley-Lieb algebra to construct an orthogonal basis for the vector space over these diagrams.

Affiliated with

Also associated with

No associations

Rating

Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams 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 Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Representations of the Temperley-Lieb Algebra via a New Inner Product on Half-Diagrams will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-513737