Combinatorial properties of the Temperley–Lieb algebra of a Coxeter group

@article{Pesiri2013CombinatorialPO,
  title={Combinatorial properties of the Temperley–Lieb algebra of a Coxeter group},
  author={Alfonso Pesiri},
  journal={Journal of Algebraic Combinatorics},
  year={2013},
  volume={37},
  pages={717-736}
}
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. 
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