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arXiv · 1405.2758

On the generating function of weight multiplicities for the representations of the Lie algebra $C_2$

José Fernández Nuñez·Wifredo García Fuertes·Askold M. Perelomov
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Abstract

We use the generating function of the characters of $C_2$ to obtain a generating function for the multiplicities of the weights entering in the irreducible representations of that simple Lie algebra. From this generating function we derive some recurrence relations among the multiplicities and a simple graphical recipe to compute them.

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José Fernández Nuñez, Wifredo García Fuertes, Askold M. Perelomov. 2014-05-12. On the generating function of weight multiplicities for the representations of the Lie algebra $C_2$. https://doi.org/10.1063/1.4917054

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