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Simple Supercuspidal $L$-Packets of Quasi-Split Classical Groups
 
Masao Oi Kyoto University, Kyoto, Japan
Softcover ISBN:  978-1-4704-6956-6
Product Code:  MEMO/297/1483
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7831-5
Product Code:  MEMO/297/1483.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6956-6
eBook: ISBN:  978-1-4704-7831-5
Product Code:  MEMO/297/1483.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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Simple Supercuspidal $L$-Packets of Quasi-Split Classical Groups
Masao Oi Kyoto University, Kyoto, Japan
Softcover ISBN:  978-1-4704-6956-6
Product Code:  MEMO/297/1483
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7831-5
Product Code:  MEMO/297/1483.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6956-6
eBook ISBN:  978-1-4704-7831-5
Product Code:  MEMO/297/1483.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: 2972024; 161 pp
    MSC: Primary 22; Secondary 11

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Simple supercuspidal representations of classical groups
    • 3. Characters of simple supercuspidal representations
    • 4. Arthur’s local classification theorem
    • 5. Simple supercuspidal $L$-packet of $Sp_{2n}$
    • 6. Transfer factors at affine generic elements
    • 7. Endoscopic lifting of simple supercuspidal $L$-packets of $SO_{2n}^{\mu }$
    • 8. Simple supercuspidal $L$-packet of $SO_{2n+2}$ and $SO_{2n+2}^{\mathrm {ur}}$
    • 9. Application: Formal degree conjecture for simple supercuspidal $L$-packets for some bad primes
    • A. Kloosterman sums and Gauss sums
    • B. Depth of simple supercuspidal representations
    • C. Spinor twists for $L$-packets of even orthogonal groups
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 2972024; 161 pp
MSC: Primary 22; Secondary 11

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Simple supercuspidal representations of classical groups
  • 3. Characters of simple supercuspidal representations
  • 4. Arthur’s local classification theorem
  • 5. Simple supercuspidal $L$-packet of $Sp_{2n}$
  • 6. Transfer factors at affine generic elements
  • 7. Endoscopic lifting of simple supercuspidal $L$-packets of $SO_{2n}^{\mu }$
  • 8. Simple supercuspidal $L$-packet of $SO_{2n+2}$ and $SO_{2n+2}^{\mathrm {ur}}$
  • 9. Application: Formal degree conjecture for simple supercuspidal $L$-packets for some bad primes
  • A. Kloosterman sums and Gauss sums
  • B. Depth of simple supercuspidal representations
  • C. Spinor twists for $L$-packets of even orthogonal groups
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.