Non-trivial Kazhdan-Lusztig coefficients of affine Weyl groups

Pan Chen

In this paper we show that the leading coefficient $\hat{I}¼(y,w)$ of some Kazhdan-Lusztig polynomials $P_{y,w}$ with $y,w$ in an affine Weyl group of type ${\tilde{B}}_n$ (resp. $\tilde C_…