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

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

2003-12-11

arxiv.org/abs/math/0312237v4

Mathematics

Combinatorics

28 pages 0 figures

Scientific paper

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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