The leading coefficient of certain Kazhdan-Lusztig polynomials of the permutation group $S_n$

Nanhua Xi

In this paper we show that the leading coefficient $\mu (y,w)$ of certain Kazhdan-Lusztig polynomials $P_{y,w}$ of the permutation group ${\mathfrak{S}}_n$ of 1,2,...,n are not greater t…