Cells in affine Weyl groups Type $\widetilde{A}_{n-1}$ Canonical left cells The group $F_\lambda$ and its representation A bijection between $\Gamma_\lambda\cap\Gamma^{-1}_\lambda$ and Irr $F_\lambda$ A factorization formula in $J_{\Gamma_\lambda\cap\Gamma^{-1}_\lambda}$ a multiplication formula in $J_{\Gamma_\lambda\cap\Gamma^{-1}_\lambda}$ The based rings $J_{\Gamma_\lambda\cap\Gamma^{-1}_\lambda}$ and $J_{\textbf{c}}$ Bibliography Index Notation.
