Pesiri, Alfonso

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

J. Algebr. Comb. 37(4), 717-736 (2013)
DOI: 10.1007/s10801-012-0384-y

Summary

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/Phrases

temperley-Lieb algebra, Hecke algebra, Kazhdan-Lusztig basis, Coxeter group

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