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Stability in Modules for Classical Lie Algebras: A Constructive Approach
eBook ISBN:  9781470408534 
Product Code:  MEMO/85/430.E 
List Price:  $27.00 
MAA Member Price:  $24.30 
AMS Member Price:  $16.20 
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Stability in Modules for Classical Lie Algebras: A Constructive Approach
eBook ISBN:  9781470408534 
Product Code:  MEMO/85/430.E 
List Price:  $27.00 
MAA Member Price:  $24.30 
AMS Member Price:  $16.20 

Book DetailsMemoirs of the American Mathematical SocietyVolume: 85; 1990; 165 ppMSC: Primary 17; 05; 22

Table of Contents

Chapters

Introduction

1. Preliminaries

2. The tensor product realization

3. The dominant weights of $\otimes ^M V(\omega _1, X_r)$

4. The dominant weights of $V(\lambda , X_r)$

5. Dimensions and polynomials

6. Stability of $g_r(\otimes ^{M’} V(\omega _1, X_r)) \otimes g_{r’}(\otimes ^{M”} V(\omega _1, X_r))$

7. Stability of $V(\lambda , X_r) \otimes V(\lambda ’, X_r)$

8. Multiplicities of the dominant weights of $V(\lambda , X_r)$

9. Algorithms and examples


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Chapters

Introduction

1. Preliminaries

2. The tensor product realization

3. The dominant weights of $\otimes ^M V(\omega _1, X_r)$

4. The dominant weights of $V(\lambda , X_r)$

5. Dimensions and polynomials

6. Stability of $g_r(\otimes ^{M’} V(\omega _1, X_r)) \otimes g_{r’}(\otimes ^{M”} V(\omega _1, X_r))$

7. Stability of $V(\lambda , X_r) \otimes V(\lambda ’, X_r)$

8. Multiplicities of the dominant weights of $V(\lambda , X_r)$

9. Algorithms and examples
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