Kazhdan-Lusztig coefficients for the lowest two-sided cell of type $\tilde{G_{2}}$

Peng-Fei Guo, Hai-Tao Ma, Zhu-Jun Zheng

Published 2013-10-28, updated 2014-03-25Version 3

This paper studies the Kazhdan-Lusztig coefficients $\mu(u,w)$ of the Kazhdan-Lusztig polynomials $P_{u,w}$ for the lowest cell ${c_{0}}$ of an affine Weyl group of type $\widetilde{G_{2}}$ and gives an estimation $\mu(u,w)\leqslant 3$ for $u,w\in c_{0}$.