José Fernández Nuñez, Wifredo Garc'\ia Fuertes, Askold M. Perelomov
Published 2014-05-12Version 1
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.
Comments: arXiv admin note: text overlap with arXiv:1304.7203
Generating functions and multiplicity formulas: the case of rank two simple Lie algebras
The generating function of bivariate Chebyshev polynomials associated with the Lie algebra $G_2$
On the Geometry of the Hamilton-Jacobi Equation and Generating Functions
![QR code for arXiv:1405.2758 [math-ph]](http://oss.arxitics.com/images/favicon.svg)