Graded cellular bases for Temperley-Lieb algebras of type A and B
Representation Theory
2013-10-22 v3 Quantum Algebra
Abstract
We show that the Temperley-Lieb algebra of type and the blob algebra (also known as the Temperley-Lieb algebra of type ) at roots of unity are -graded algebras.We moreover show that they are graded cellular algebras, thus making their cell modules, or standard modules, graded modules for the algebras.
Keywords
Cite
@article{arxiv.1203.2592,
title = {Graded cellular bases for Temperley-Lieb algebras of type A and B},
author = {David Plaza and Steen Ryom-Hansen},
journal= {arXiv preprint arXiv:1203.2592},
year = {2013}
}
Comments
36 pages. Final version, to appear in Journal of Algebraic Combinatorics