The Based Ring of Two-sided Cells of Affine Weyl Groups of Type A N-1

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.