Geodesic
Combinatorial properties of the Temperley-Lieb algebra of a Coxeter group
Journal of Algebraic Combinatorics, Tome 37 (2013) no. 4, pp. 717-736.

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

Summary: We study two families of polynomials that play the same role in the Temperley-Lieb algebra of a Coxeter group as the Kazhdan-Lusztig and R-polynomials play in the Hecke algebra of the group. Our results include recursions, non-recursive formulas, symmetry properties and expressions for the constant term. We focus mainly on non-branching Coxeter graphs.
Keywords: temperley-Lieb algebra, Hecke algebra, Kazhdan-Lusztig basis, Coxeter group 
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     author = {Pesiri, Alfonso},
     title = {Combinatorial properties of the {Temperley-Lieb} algebra of a {Coxeter} group},
     journal = {Journal of Algebraic Combinatorics},
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Pesiri, Alfonso. Combinatorial properties of the Temperley-Lieb algebra of a Coxeter group. Journal of Algebraic Combinatorics, Tome 37 (2013) no. 4, pp. 717-736. http://geodesic.mathdoc.fr/item/JAC_2013__37_4_a3/