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Book Cover
Author Benkart, Georgia, 1949-

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

Published Providence, R.I., USA : American Mathematical Society, c1990.


Location Call No. Status
Physical description 1 online resource (iv, 165 p. : ill.)
Series Memoirs of the American Mathematical Society, 0065-9266 (print); 1947-6221 (online); v. 430
Notes "May 1990, Volume 85, number 430, (end of volume)."
Bibliography Includes bibliographical references (p. 161-165).
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
Restrictions Access is restricted to licensed institutions
Reproduction Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012
System notes Mode of access : World Wide Web
Notes Description based on print version record.
Other author Britten, D. J. (Daniel J.), 1944-
Lemire, F. W. (Frank W.), 1942-
Subject Lie algebras.
Representations of algebras.
Modules (Algebra)
Partitions (Mathematics)
Semisimple Lie groups.
ISBN 9781470408534 (online)