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Stability in Modules for Classical Lie Algebras: A Constructive Approach

Available Formats:
Electronic ISBN: 978-1-4704-0853-4
Product Code: MEMO/85/430.E
165 pp
List Price: $27.00 MAA Member Price:$24.30
AMS Member Price: $16.20 Click above image for expanded view Stability in Modules for Classical Lie Algebras: A Constructive Approach Available Formats:  Electronic ISBN: 978-1-4704-0853-4 Product Code: MEMO/85/430.E 165 pp  List Price:$27.00 MAA Member Price: $24.30 AMS Member Price:$16.20
• Book Details

Memoirs of the American Mathematical Society
Volume: 851990
MSC: Primary 17; 05; 22;

• 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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Volume: 851990
MSC: Primary 17; 05; 22;
• 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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