Geodesic
Leading coefficients of Kazhdan-Lusztig polynomials and fully commutative elements.
Journal of Algebraic Combinatorics, Tome 30 (2009) no. 2, pp. 165-171.

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

Summary: Let $W$ be a Coxeter group of type [$( A)$tilde] $_{ n -1}$ widetildeA_n-1 . We show that the leading coefficient, $\mu ( x, w)$, of the Kazhdan-Lusztig polynomial $P _{ x, w }$ is always equal to 0 or 1 if $x$ is fully commutative (and $w$ is arbitrary).
Keywords: keywords Kazhdan-Lusztig polynomials, affine Weyl groups, fully commutative elements, 0-1 conjecture 
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     author = {Green, R.M.},
     title = {Leading coefficients of {Kazhdan-Lusztig} polynomials and fully commutative elements.},
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Green, R.M. Leading coefficients of Kazhdan-Lusztig polynomials and fully commutative elements.. Journal of Algebraic Combinatorics, Tome 30 (2009) no. 2, pp. 165-171. http://geodesic.mathdoc.fr/item/JAC_2009__30_2_a5/