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تسجيل مستخدم جديدGenerating functions and multiplicity formulas: the case of rank two simple Lie algebras
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A procedure is described that makes use of the generating function of characters to obtain a new generating function $H$ giving the multiplicities of each weight in all the representations of a simple Lie algebra. The way to extract from $H$ explicit multiplicity formulas for particular weights is explained and the results corresponding to rank two simple Lie algebras shown.
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