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The Maximal Subgroups of Classical Algebraic Groups
 
The Maximal Subgroups of Classical Algebraic Groups
eBook ISBN:  978-1-4704-0781-0
Product Code:  MEMO/67/365.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $27.00
The Maximal Subgroups of Classical Algebraic Groups
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The Maximal Subgroups of Classical Algebraic Groups
eBook ISBN:  978-1-4704-0781-0
Product Code:  MEMO/67/365.E
List Price: $45.00
MAA Member Price: $40.50
AMS Member Price: $27.00
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 671987; 286 pp
    MSC: Primary 20;
  • Table of Contents
     
     
    • Chapters
    • 0. Introduction
    • 1. Preliminary lemmas
    • 2. $Q$-levels and commutator spaces
    • 3. Embeddings of parabolic subgroups
    • 4. The maximal rank theorem
    • 5. The classical module theorem
    • 6. Modules with 1-dimensional weight spaces
    • 7. The rank 1 theorem
    • 8. Natural embeddings of classical groups
    • 9. Component restrictions
    • 10. $V|X$ is usually basic
    • 11. $X = A_n$
    • 12. $X = B_n$, $C_n$, $D_n$, $n \neq 2$
    • 13. $X = B_2$, $C_2$, and $G_2$
    • 14. $X = F_4$ ($p>2$), $E_6$, $E_7$, $E_8$
    • 15. Exceptional cases for $p = 2$ or $3$
    • 16. Embeddings and prime restrictions
    • 17. The main theorems
  • 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: 671987; 286 pp
MSC: Primary 20;
  • Chapters
  • 0. Introduction
  • 1. Preliminary lemmas
  • 2. $Q$-levels and commutator spaces
  • 3. Embeddings of parabolic subgroups
  • 4. The maximal rank theorem
  • 5. The classical module theorem
  • 6. Modules with 1-dimensional weight spaces
  • 7. The rank 1 theorem
  • 8. Natural embeddings of classical groups
  • 9. Component restrictions
  • 10. $V|X$ is usually basic
  • 11. $X = A_n$
  • 12. $X = B_n$, $C_n$, $D_n$, $n \neq 2$
  • 13. $X = B_2$, $C_2$, and $G_2$
  • 14. $X = F_4$ ($p>2$), $E_6$, $E_7$, $E_8$
  • 15. Exceptional cases for $p = 2$ or $3$
  • 16. Embeddings and prime restrictions
  • 17. The main theorems
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
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