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The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde{A}_{n-1}$
 
Nanhua Xi Chinese Academy of Sciences, Institute of Mathematics, Beijing, China
The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type 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
The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type A_n-1
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The Based Ring of Two-Sided Cells of Affine Weyl Groups of Type $\widetilde{A}_{n-1}$
Nanhua Xi Chinese Academy of Sciences, Institute of Mathematics, Beijing, China
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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1572002; 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.

  • 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 $J_{\mathbb {C}}$
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1572002; 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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Accessibility – to request an alternate format of an AMS title
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