Some Kazhdan-Lusztig Coefficients of Affine Weyl Group of Type (B)2

• 作者: Ge Feng Liping Wang
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2021,（4）
• 页码范围: 541-554
• 页数: 14页
• 语种: 英文
• DOI: 10.1142/S1005386721000420

摘要

Let (W,S) be the affine Weyl group of type (B)2,on which we consider the length function e from W to N and the Bruhat order ≤.For y ＜ w in W,let μ(y,w) be the coefficient of q1/2(e(w)-e(y)-1) in Kazhdan-Lusztig polynomial Py,w ∈ Z[q].We determine some μ(y,w) for y ∈ c0 and w ∈ c2,where c0 is the lowest two-sided cell of (B)2 and c2 is the higher one.Furthermore,we get some consequences using left or right strings and some properties of leading coefficients.