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Noncommutative Coordinates for Symplectic Representations
 
Daniele Alessandrini Stevens Institute of Technology, Hoboken, New Jersey
Olivier Guichard Université de Strasbourg et CNRS, Strasbourg, France
Eugen Rogozinnikov Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
Anna Wienhard Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
Softcover ISBN:  978-1-4704-7108-8
Product Code:  MEMO/300/1504
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7930-5
Product Code:  MEMO/300/1504.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7108-8
eBook: ISBN:  978-1-4704-7930-5
Product Code:  MEMO/300/1504.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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Noncommutative Coordinates for Symplectic Representations
Daniele Alessandrini Stevens Institute of Technology, Hoboken, New Jersey
Olivier Guichard Université de Strasbourg et CNRS, Strasbourg, France
Eugen Rogozinnikov Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
Anna Wienhard Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany
Softcover ISBN:  978-1-4704-7108-8
Product Code:  MEMO/300/1504
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7930-5
Product Code:  MEMO/300/1504.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-7108-8
eBook ISBN:  978-1-4704-7930-5
Product Code:  MEMO/300/1504.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: 3002024; 116 pp
    MSC: Primary 22; 57; Secondary 13

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Symplectic group, Lagrangians
    • 3. Invariants of Lagrangian subspaces
    • 4. Moduli spaces of framed and decorated local systems
    • 5. Local systems on quivers and their framings
    • 6. $\mathcal {X}$-coordinates for maximal representations
    • 7. Topology of the space of maximal framed representations
    • 8. Singularities of the space of framed maximal representations into $Sp(4,\mathbf {R})$
    • 9. General $\mathcal {X}$-coordinates
    • 10. $\mathcal {X}$-coordinates for representations into isogenic groups
    • 11. $\mathcal {A}$-coordinates for decorated local systems
    • A. Normal form for pair of quadratic forms
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 3002024; 116 pp
MSC: Primary 22; 57; Secondary 13

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Symplectic group, Lagrangians
  • 3. Invariants of Lagrangian subspaces
  • 4. Moduli spaces of framed and decorated local systems
  • 5. Local systems on quivers and their framings
  • 6. $\mathcal {X}$-coordinates for maximal representations
  • 7. Topology of the space of maximal framed representations
  • 8. Singularities of the space of framed maximal representations into $Sp(4,\mathbf {R})$
  • 9. General $\mathcal {X}$-coordinates
  • 10. $\mathcal {X}$-coordinates for representations into isogenic groups
  • 11. $\mathcal {A}$-coordinates for decorated local systems
  • A. Normal form for pair of quadratic forms
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.