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Multiplicity-free Representations of Algebraic Groups
 
Martin W. Liebeck :  Imperial College, London, United Kingdom
Gary M. Seitz :  University of Oregon, Eugene, Oregon
Donna M. Testerman :  École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Softcover ISBN:  978-1-4704-6905-4
Product Code:  MEMO/294/1466
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7754-7
Product Code:  MEMO/294/1466.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6905-4
eBook: ISBN:  978-1-4704-7754-7
Product Code:  MEMO/294/1466.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Add to cart
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Multiplicity-free Representations of Algebraic Groups
Martin W. Liebeck :  Imperial College, London, United Kingdom
Gary M. Seitz :  University of Oregon, Eugene, Oregon
Donna M. Testerman :  École Polytechnique Fédérale de Lausanne, Lausanne, Switzerland
Softcover ISBN:  978-1-4704-6905-4
Product Code:  MEMO/294/1466
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-7754-7
Product Code:  MEMO/294/1466.E
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
Softcover ISBN:  978-1-4704-6905-4
eBook ISBN:  978-1-4704-7754-7
Product Code:  MEMO/294/1466.B
List Price: $170.00 $127.50
MAA Member Price: $153.00 $114.75
AMS Member Price: $136.00 $102.00
Add to cart
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 294; 2024; 268 pp
    MSC: Primary 20

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • 1. Introduction
    • 2. Notation
    • 3. Level set-up
    • 4. Results from the Literature
    • 5. Composition Factors In Levels
    • 6. Multiplicity-free families
    • 7. Initial Lemmas
    • 8. The case $X = A_2$
    • 9. The case $\delta = r\omega _k$ with $r,k\ge 2$
    • 10. The case $\delta = r\omega _1$, $r\ge 2$
    • 11. The case $\delta = \omega _i$ with $i\ge 3$
    • 12. The case $\delta = \omega _2$
    • 13. The case $\delta = \omega _1+\omega _{l+1}$
    • 14. Proof of Theorem , Part I: $V_{C^i}(\mu ^i)$ is usually trivial
    • 15. Proof of Theorem , Part II: $\mu ^0$ is not inner
    • 16. Proof of Theorem , Part III: $\langle \lambda , \gamma \rangle = 0$
    • 17. Proof of Theorem , Part IV: Completion
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Memoirs of the American Mathematical Society
Volume: 294; 2024; 268 pp
MSC: Primary 20

View the abstract.

  • Chapters
  • 1. Introduction
  • 2. Notation
  • 3. Level set-up
  • 4. Results from the Literature
  • 5. Composition Factors In Levels
  • 6. Multiplicity-free families
  • 7. Initial Lemmas
  • 8. The case $X = A_2$
  • 9. The case $\delta = r\omega _k$ with $r,k\ge 2$
  • 10. The case $\delta = r\omega _1$, $r\ge 2$
  • 11. The case $\delta = \omega _i$ with $i\ge 3$
  • 12. The case $\delta = \omega _2$
  • 13. The case $\delta = \omega _1+\omega _{l+1}$
  • 14. Proof of Theorem , Part I: $V_{C^i}(\mu ^i)$ is usually trivial
  • 15. Proof of Theorem , Part II: $\mu ^0$ is not inner
  • 16. Proof of Theorem , Part III: $\langle \lambda , \gamma \rangle = 0$
  • 17. Proof of Theorem , Part IV: Completion
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
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