# The based ring of two-sided cells of affine Weyl groups of type Ãn-1

## 書誌事項

The based ring of two-sided cells of affine Weyl groups of type Ãn-1

Nanhua Xi

（Memoirs of the American Mathematical Society, no. 749）

American Mathematical Society, 2002

## 注記

"May 2002, volume 157, number 749 (end of volume)"

Includes bibliography (p. 91) and index

On t.p. "n-1"is subscript

## 内容説明・目次

Aims to prove Lusztig's conjecture on based ring for an affine Weyl group of type $\tilde A_{n-1}$.

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.

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