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Affine Hecke Algebras and Quantum Symmetric Pairs
 
Zhaobing Fan Harbin Engineering University, Harbin, China
Chun-Ju Lai Institute of Mathematics, Academia Sinica, Taipei, Taiwan
Yiqiang Li SUNY at Buffalo, Buffalo, New York
Li Luo East China Normal University, Shanghai, China
Weiqiang Wang University of Virginia, Charlottesville, Virginia
Softcover ISBN:  978-1-4704-5626-9
Product Code:  MEMO/281/1386
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7319-8
Product Code:  MEMO/281/1386.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5626-9
eBook: ISBN:  978-1-4704-7319-8
Product Code:  MEMO/281/1386.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
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Affine Hecke Algebras and Quantum Symmetric Pairs
Zhaobing Fan Harbin Engineering University, Harbin, China
Chun-Ju Lai Institute of Mathematics, Academia Sinica, Taipei, Taiwan
Yiqiang Li SUNY at Buffalo, Buffalo, New York
Li Luo East China Normal University, Shanghai, China
Weiqiang Wang University of Virginia, Charlottesville, Virginia
Softcover ISBN:  978-1-4704-5626-9
Product Code:  MEMO/281/1386
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7319-8
Product Code:  MEMO/281/1386.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5626-9
eBook ISBN:  978-1-4704-7319-8
Product Code:  MEMO/281/1386.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2812023; 92 pp
    MSC: Primary 17; Secondary 20

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Acknowledgment
    • Notations
    • 1. Introduction
    • 1. Affine Schur algebras
    • 2. Affine Schur algebras via affine Hecke algebras
    • 3. Multiplication formula for affine Hecke algebra
    • 4. Multiplication formula for affine Schur algebra
    • 5. Monomial and canonical bases for affine Schur algebra
    • 2. Affine quantum symmetric pairs
    • 6. Stabilization algebra $\dot {\mathbf {K}}^{\mathfrak {c}}_n$ arising from affine Schur algebras
    • 7. The quantum symmetric pair $(\mathbf {K}_n, \mathbf {K}^{\mathfrak {c}}_n)$
    • 8. Stabilization algebras arising from other Schur algebras
    • A. Length formulas in symmetrized forms by Zhaobing Fan, Chun-Ju Lai, Yiqiang Li and Li Luo
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2812023; 92 pp
MSC: Primary 17; Secondary 20

View the abstract.

  • Chapters
  • Acknowledgment
  • Notations
  • 1. Introduction
  • 1. Affine Schur algebras
  • 2. Affine Schur algebras via affine Hecke algebras
  • 3. Multiplication formula for affine Hecke algebra
  • 4. Multiplication formula for affine Schur algebra
  • 5. Monomial and canonical bases for affine Schur algebra
  • 2. Affine quantum symmetric pairs
  • 6. Stabilization algebra $\dot {\mathbf {K}}^{\mathfrak {c}}_n$ arising from affine Schur algebras
  • 7. The quantum symmetric pair $(\mathbf {K}_n, \mathbf {K}^{\mathfrak {c}}_n)$
  • 8. Stabilization algebras arising from other Schur algebras
  • A. Length formulas in symmetrized forms by Zhaobing Fan, Chun-Ju Lai, Yiqiang Li and Li Luo
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.