Kazhdan-Lusztig coefficients for the lowest two-sided cell of type $\widetilde{G_2}$

Abstract

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 $\mu (u,w)⩽3$ for $u,w\in c_0$.

arXiv comment96 pages