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The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde{A}_{n-1}$
| eBook ISBN: | 978-1-4704-0342-3 |
| 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 Two-Sided Cells of Affine Weyl Groups of Type $\widetilde{A}_{n-1}$
| eBook ISBN: | 978-1-4704-0342-3 |
| Product Code: | MEMO/157/749.E |
| List Price: | $59.00 |
| MAA Member Price: | $53.10 |
| AMS Member Price: | $35.40 |
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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 \(\tilde A_{n-1}\).
ReadershipGraduate students and research mathematiciains interested in group theory and generalizations, category theory, and homological algebra.
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Table of Contents
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Chapters
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1. Cells in affine Weyl groups
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2. Type $\tilde {A}_{n-1}$
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3. Canonical left cells
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4. The group $F_\lambda $ and its representation
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5. A bijection between $\Gamma _\lambda \cap \Gamma ^{-1}_\lambda $ and $\operatorname {Irr} F_\lambda $
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6. A factorization formula in $J_{\Gamma _\lambda \cap \Gamma ^{-1}_\lambda }$
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7. A multiplication formula in $J_{\Gamma _\lambda \cap \Gamma ^{-1}_\lambda }$
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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 \(\tilde A_{n-1}\).
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 $\tilde {A}_{n-1}$
-
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 $J_{\mathbb {C}}$
Review Copy – for publishers of book reviews
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