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arXiv · 1506.07815

Generating functions and multiplicity formulas: the case of rank two simple Lie algebras

Jose Fernandez Nunez·Wifredo Garcia Fuertes·Askold M. Perelomov
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Abstract

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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Jose Fernandez Nunez, Wifredo Garcia Fuertes, Askold M. Perelomov. 2015-06-25. Generating functions and multiplicity formulas: the case of rank two simple Lie algebras. https://doi.org/10.1063/1.4930806

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