Stability in Modules for Classical Lie Algebras: A Constructive Approach: A Constructive Approach

Georgia Benkart · Daniel J. Britten · Frank W. Lemire

1990年1月 · American Mathematical Society: Memoirs of the American Mathematical Society 第 430 本图书 · American Mathematical Soc.

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During the last century, mathematicians and physicists alike have studied extensively the finite dimensional irreducible representations of complex classical Lie algebras. These studies have led to numerous formulas for computing the dimensions, weights, weight multiplicities, and tensor products of the representations. The dependence of these quantities on the rank of the Lie algebra has been revealed in recent investigations using Schur functions and characters.