Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II

Details Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II

2011-01-21

arxiv.org/abs/1101.4215v1

Mathematics

Quantum Algebra

36 pages, 70 figures

Scientific paper

In a previous paper, we presented an infinite dimensional associative diagram algebra that satisfies the relations of the generalized Temperley--Lieb algebra having a basis indexed by the fully commutative elements (in the sense of Stembridge) of the Coxeter group of type affine $C$. We also provided an explicit description of a basis for the diagram algebra. In this paper, we show that this diagrammatic representation is faithful. The results of this paper will be used to construct a Jones-type trace on the Hecke algebra of type affine $C$, allowing us to non-recursively compute leading coefficients of certain Kazhdan--Lusztig polynomials.

Affiliated with

Also associated with

No associations

Rating

Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II 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 Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Diagram calculus for a type affine $C$ Temperley--Lieb algebra, II will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-20003