Jose Fernandez Nunez, Wifredo Garcia Fuertes, Askold M. Perelomov
Published 2015-06-25Version 1
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.
The generating function for a particular class of characters of SU(n)
On the generating function of weight multiplicities for the representations of the Lie algebra $C_2$
The generating function of bivariate Chebyshev polynomials associated with the Lie algebra $G_2$
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