Multiplicity-free Representations of Algebraic Groups

Author:   Martin W. Liebeck ,  Gary M. Seitz ,  Donna M. Testerman
Publisher:   American Mathematical Society
Volume:   Volume: 294 Number: 1466
ISBN:  

9781470469054


Pages:   268
Publication Date:   31 May 2024
Format:   Paperback
Availability:   In Print   Availability explained
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Multiplicity-free Representations of Algebraic Groups


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Author:   Martin W. Liebeck ,  Gary M. Seitz ,  Donna M. Testerman
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   Volume: 294 Number: 1466
ISBN:  

9781470469054


ISBN 10:   1470469057
Pages:   268
Publication Date:   31 May 2024
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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

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Martin W. Liebeck, Imperial College, London, United Kingdom. Gary M. Seitz, University of Oregon, Eugene, Oregon. Donna M. Testerman, Ecole Polytechnique Federale de Lausanne, Switzerland.

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