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The Based Ring of TwoSided Cells of Affine Weyl Groups of Type $\widetilde{A}_{n1}$
eBook ISBN:  9781470403423 
Product Code:  MEMO/157/749.E 
List Price:  $59.00 
MAA Member Price:  $53.10 
AMS Member Price:  $35.40 
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The Based Ring of TwoSided Cells of Affine Weyl Groups of Type $\widetilde{A}_{n1}$
eBook ISBN:  9781470403423 
Product Code:  MEMO/157/749.E 
List Price:  $59.00 
MAA Member Price:  $53.10 
AMS Member Price:  $35.40 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 157; 2002; 95 ppMSC: Primary 20; 18; Secondary 16
In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type \(\tilde A_{n1}\).
ReadershipGraduate students and research mathematiciains interested in group theory and generalizations, category theory, and homological algebra.

Table of Contents

Chapters

1. Cells in affine Weyl groups

2. Type $\tilde {A}_{n1}$

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 $J_{\mathbb {C}}$


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Volume: 157; 2002; 95 pp
MSC: Primary 20; 18; Secondary 16
In this paper we prove Lusztig's conjecture on based ring for an affine Weyl group of type \(\tilde A_{n1}\).
Readership
Graduate students and research mathematiciains interested in group theory and generalizations, category theory, and homological algebra.

Chapters

1. Cells in affine Weyl groups

2. Type $\tilde {A}_{n1}$

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 $J_{\mathbb {C}}$
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