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The based ring of two-sided cells of affine Weyl groups of type $̃A_{n-1}$

About this Title

Nanhua Xi

Publication: Memoirs of the American Mathematical Society
Publication Year: 2002; Volume 157, Number 749
ISBNs: 978-0-8218-2891-5 (print); 978-1-4704-0342-3 (online)
DOI: https://doi.org/10.1090/memo/0749
MathSciNet review: 1895287
MSC: Primary 20G05; Secondary 20C08

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Table of Contents

Chapters

• 1. Cells in affine Weyl groups
• 2. Type $\tilde {A}_{n-1}$
• 3. Canonical left cells
• 4. The group $F_\lambda$ and its representation
• 5. A bijection between $\Gamma _\lambda \cap \Gamma ^{-1}_\lambda$ and $\operatorname {Irr} F_\lambda$
• 6. A factorization formula in $J_{\Gamma _\lambda \cap \Gamma ^{-1}_\lambda }$
• 7. A multiplication formula in $J_{\Gamma _\lambda \cap \Gamma ^{-1}_\lambda }$
• 8. The based rings $J_{\Gamma _\lambda \cap \Gamma ^{-1}_\lambda }$ and $J_{\mathbb {C}}$