Geodesic
Graded cellular bases for Temperley-Lieb algebras of type A and B
Journal of Algebraic Combinatorics, Tome 40 (2014) no. 1, pp. 137-177.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

We show that the Temperley-Lieb algebra of type $A$ and the blob algebra (also known as the Temperley-Lieb algebra of type $B$) at roots of unity are $\mathbb{Z}$-graded algebras. We moreover show that they are graded cellular algebras, thus making their cell modules, or standard modules, graded modules for the algebras.
Classification : 05E10, 20C08, 16D60
Keywords: Temperley-Lieb algebra, Khovanov-Lauda-Rouquier algebra, cellular basis, decomposition numbers 
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     author = {Plaza, David and Ryom-Hansen, Steen},
     title = {Graded cellular bases for {Temperley-Lieb} algebras of type {A} and {B}},
     journal = {Journal of Algebraic Combinatorics},
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Plaza, David; Ryom-Hansen, Steen. Graded cellular bases for Temperley-Lieb algebras of type A and B. Journal of Algebraic Combinatorics, Tome 40 (2014) no. 1, pp. 137-177. http://geodesic.mathdoc.fr/item/JAC_2014__40_1_a7/