The Leading Coefficients for an Affine Weyl Group of Type G 2 ˜ : The Lowest Two-Sided Cell Case-Reference-Cited by-同舟云学术

The Leading Coefficients for an Affine Weyl Group of Type G 2 ˜ : The Lowest Two-Sided Cell Case

Author:

Guo Pengfei¹^ORCID,Zheng Zhu-Jun²^ORCID

Affiliation:

1. School of Computational Science, Zhongkai University of Agriculture and Engineering, Guangzhou 510115, China

2. Department of Mathematics, South China University of Technology, Guangzhou 510641, China

Abstract

This study focusses on the leading coefficients

μ (u, w)

of the Kazhdan–Lusztig polynomials

P_{u, w}

for the lowest cell

c_{0}

of an affine Weyl group of type

\tilde{G_{2}}

and gives an estimation

μ (u, w) \leq 3

for

u, w \in c_{0}

Funder

Guangdong Basic and Applied Basic Research Foundation

Publisher

Hindawi Limited

Subject

General Mathematics

Link

Reference19 articles.

3. Nonlocal finiteness of a $W$-graph;L. George;Representation Theory of the American Mathematical Society,1996

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