TY - BOOK AU - Benkart,G.M. AU - Britten,D.J. AU - Lemire,F.W. TI - Stability in Modules for Classical Lie Algebras: A Constructive Approach T2 - Memoirs of the American Mathematical Society SN - 9781470408534 AV - QA252.3 -- .B465 1990eb U1 - 512/.55 PY - 1990/// CY - Providence PB - American Mathematical Society KW - Lie algebras KW - Representations of algebras KW - Modules (Algebra) KW - Partitions (Mathematics) KW - Semisimple Lie groups KW - Electronic books N1 - Intro -- Table of Contents -- Introduction -- 1. Preliminaries -- 2. The Tensor Product Realization -- 3. The Dominant Weights of ⊗[sup(m)]V(ω[sub(1)],X[sub(r)]) -- 4. The Dominant Weights of V(λ, X[sub(r)]) -- 5. Dimensions and Polynomials -- 6. Stability of g[sub(r)](⊗[sup(M')]V(ω,X[sub(r)])⊗g[sup(r')](⊗[sup(M")]V(ω,X[sub(r)]) -- 7. Stability of V(λ, X[sub(r)]) ⊗V(λ', X[sub(r)]) -- 8. Multiplicities of the Dominant Weights of V(λ, X[sub(r)]) -- 9. Algorithms and Examples -- Notation -- References UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113991 ER -