Some Kazhdan-Lusztig coefficients for an affine Weyl group of type(C)3
In the study of the nonlocal finiteness of W-graph,Lusztig introduced a system of semi-linear equations related to the Kazhdan-Lusztig coefficients μ(y,w).We analyze the basic structure of the affine Weyl group of type(C)3,and uses the properties of the semi-linear equation system to compute the full correlation aλ λ'.Then it derives some bλ λ"and the corresponding Kazhdan-Lusztig coefficients.