Invariance Combinatoire des Polynomes de Kazhdan-Lusztig sur les intervalles partant de l'origine

Abstract

We show that for Bruhat intervals starting from the origin in simply-laced Coxeter groups the conjecture of Lusztig and Dyer holds, that is, the R-polynomials and the Kazhdan-Lusztig polynomials defined on [e,u] only depend on the isomorphism type of [e,u].

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