Leading coefficients of the Kazhdan-Lusztig polynomials for an Affine Weyl group of type $\widetilde{A_2}$

Details Leading coefficients of the Kazhdan-Lusztig polynomials for an Affine Weyl group of type $\widetilde{A_2}$ Leading coefficients of the Kazhdan-Lusztig polynomials for an Affine Weyl group of type $\widetilde{A_2}$

2010-03-26

arxiv.org/abs/1003.5053v1

Mathematics

Combinatorics

11 pages

Scientific paper

In this paper we compute the leading coefficients $\mu (y,w)$ of the
Kazhdan-Lusztig polynomials $P_{y,w}$ for an affine Weyl group of type
$\widetilde{A_2}$. When $a(y)\leq a(w) $, we compute all $\mu (y,w)$ clearly,
where $a(y)$ is the a-function of a Coxeter group defined by Lusztig (see
[L1]).

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