Geodesic
Combinatorial invariance of Kazhdan-Lusztig polynomials on intervals starting from the identity.
Journal of Algebraic Combinatorics, Tome 24 (2006) no. 4, pp. 437-463.

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

Summary: We show that for Bruhat intervals starting from the identity in 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 $[ e, u]$. To achieve this we use the purely poset-theoretic notion of special matching. Our approach is essentially a synthesis of the explicit formula for special matchings discovered by Brenti and the general special matching machinery developed by Du Cloux.
Keywords: keywords Coxeter group, Kazhdan-Lusztig polynomials, special matching 
@article{JAC_2006__24_4_a0,
     author = {Delanoy, Ewan},
     title = {Combinatorial invariance of {Kazhdan-Lusztig} polynomials on intervals starting from the identity.},
     journal = {Journal of Algebraic Combinatorics},
     pages = {437--463},
     publisher = {mathdoc},
     volume = {24},
     number = {4},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2006__24_4_a0/}
}
TY  - JOUR
AU  - Delanoy, Ewan
TI  - Combinatorial invariance of Kazhdan-Lusztig polynomials on intervals starting from the identity.
JO  - Journal of Algebraic Combinatorics
PY  - 2006
SP  - 437
EP  - 463
VL  - 24
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/JAC_2006__24_4_a0/
LA  - en
ID  - JAC_2006__24_4_a0
ER  - 
%0 Journal Article
%A Delanoy, Ewan
%T Combinatorial invariance of Kazhdan-Lusztig polynomials on intervals starting from the identity.
%J Journal of Algebraic Combinatorics
%D 2006
%P 437-463
%V 24
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/JAC_2006__24_4_a0/
%G en
%F JAC_2006__24_4_a0
Delanoy, Ewan. Combinatorial invariance of Kazhdan-Lusztig polynomials on intervals starting from the identity.. Journal of Algebraic Combinatorics, Tome 24 (2006) no. 4, pp. 437-463. http://geodesic.mathdoc.fr/item/JAC_2006__24_4_a0/