Stability in modules for classical lie algebras : [electronic resource] a constructive approach / G.M. Benkart, D.J. Britten, and F.W. Lemire.

By: Benkart, Georgia, 1949-Contributor(s): Britten, D. J. (Daniel J.), 1944- | Lemire, F. W. (Frank W.), 1942-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 430Publication details: Providence, R.I., USA : American Mathematical Society, c1990Description: 1 online resource (iv, 165 p. : ill.)ISBN: 9781470408534 (online)Subject(s): Lie algebras | Representations of algebras | Modules (Algebra) | Partitions (Mathematics) | Semisimple Lie groupsAdditional physical formats: Stability in modules for classical lie algebras :DDC classification: 510 s | 512/.55 LOC classification: QA3 | .A57 no. 430 | QA252.3Online resources: Contents | Contents
Contents:
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
Item type: E-BOOKS
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Link to resource Available EBK12883

"May 1990, Volume 85, number 430, (end of volume)."

Includes bibliographical references (p. 161-165).

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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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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