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Local Coefficients and Gamma Factors for Principal Series of Covering Groups
 
Fan Gao Zhejiang University, Hangzhou, China
Freydoon Shahidi Purdue University, West Lafayette, Indiana
Dani Szpruch Open University of Israel, Raanana, Israel
Softcover ISBN:  978-1-4704-5681-8
Product Code:  MEMO/283/1399
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7400-3
Product Code:  MEMO/283/1399.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5681-8
eBook: ISBN:  978-1-4704-7400-3
Product Code:  MEMO/283/1399.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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Local Coefficients and Gamma Factors for Principal Series of Covering Groups
Fan Gao Zhejiang University, Hangzhou, China
Freydoon Shahidi Purdue University, West Lafayette, Indiana
Dani Szpruch Open University of Israel, Raanana, Israel
Softcover ISBN:  978-1-4704-5681-8
Product Code:  MEMO/283/1399
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7400-3
Product Code:  MEMO/283/1399.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-5681-8
eBook ISBN:  978-1-4704-7400-3
Product Code:  MEMO/283/1399.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: 2832023; 135 pp
    MSC: Primary 11; Secondary 22

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Covering groups
    • 3. Local coefficients matrix and scattering matrix
    • 4. Plancherel measure and gamma factor
    • 5. Exceptional point and the Casselman–Shalika formula
    • 6. The fundamental group $\pi _1(\overline {G}_{Q,n}^\vee )$ and periodicity of $b_{W,n}$
    • 7. Two Poincaré series
    • 8. Principal series of $\overline {GL}_2$ and $\overline {SL}_2$
    • 9. Local coefficients matrix for $\overline {SL}_2$
    • 10. Local coefficients matrices for $\overline {GL}_2$ and invariants via restrictions
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2832023; 135 pp
MSC: Primary 11; Secondary 22

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Covering groups
  • 3. Local coefficients matrix and scattering matrix
  • 4. Plancherel measure and gamma factor
  • 5. Exceptional point and the Casselman–Shalika formula
  • 6. The fundamental group $\pi _1(\overline {G}_{Q,n}^\vee )$ and periodicity of $b_{W,n}$
  • 7. Two Poincaré series
  • 8. Principal series of $\overline {GL}_2$ and $\overline {SL}_2$
  • 9. Local coefficients matrix for $\overline {SL}_2$
  • 10. Local coefficients matrices for $\overline {GL}_2$ and invariants via restrictions
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.