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Semisolvability of Semisimple Hopf Algebras of Low Dimension
 
Sonia Natale Universidad Nacional de Córdoba, Córdoba, Argentina
Semisolvability of Semisimple Hopf Algebras of Low Dimension
Semisolvability of Semisimple Hopf Algebras of Low Dimension
eBook ISBN:  978-1-4704-0478-9
Product Code:  MEMO/186/874.E
List Price: $68.00
MAA Member Price: $61.20
AMS Member Price: $40.80
Semisolvability of Semisimple Hopf Algebras of Low Dimension
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Semisolvability of Semisimple Hopf Algebras of Low Dimension
Semisolvability of Semisimple Hopf Algebras of Low Dimension
Sonia Natale Universidad Nacional de Córdoba, Córdoba, Argentina
eBook ISBN:  978-1-4704-0478-9
Product Code:  MEMO/186/874.E
List Price: $68.00
MAA Member Price: $61.20
AMS Member Price: $40.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1862007; 123 pp
    MSC: Primary 16; Secondary 17;

    The author proves that every semisimple Hopf algebra of dimension less than \(60\) over an algebraically closed field \(k\) of characteristic zero is either upper or lower semisolvable up to a cocycle twist.

  • Table of Contents
     
     
    • Chapters
    • Introduction and main results
    • Conventions and notation
    • 1. Semisimple Hopf algebras
    • 2. The Nichols-Richmond theorem
    • 3. Quotient coalgebras
    • 4. Braided Hopf algebras
    • 5. Cocycle deformations of some Hopf algebras
    • 6. Dimension 24
    • 7. Dimension 30
    • 8. Dimension 36
    • 9. Dimension 40
    • 10. Dimension 42
    • 11. Dimension 48
    • 12. Dimension 54
    • 13. Dimension 56
  • 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: 1862007; 123 pp
MSC: Primary 16; Secondary 17;

The author proves that every semisimple Hopf algebra of dimension less than \(60\) over an algebraically closed field \(k\) of characteristic zero is either upper or lower semisolvable up to a cocycle twist.

  • Chapters
  • Introduction and main results
  • Conventions and notation
  • 1. Semisimple Hopf algebras
  • 2. The Nichols-Richmond theorem
  • 3. Quotient coalgebras
  • 4. Braided Hopf algebras
  • 5. Cocycle deformations of some Hopf algebras
  • 6. Dimension 24
  • 7. Dimension 30
  • 8. Dimension 36
  • 9. Dimension 40
  • 10. Dimension 42
  • 11. Dimension 48
  • 12. Dimension 54
  • 13. Dimension 56
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
Please select which format for which you are requesting permissions.