Monday, April 29, 2013

1304.7203 (J. Fernández Núñez et al.)

A method for computing the generating function of the characters of
simple Lie algebras

J. Fernández Núñez, W. García Fuertes, A. M. Perelomov
We describe a general method, based on elementary considerations, to obtain the generating functions of the characters of simple Lie algebras. We show how the method works by means of a few examples involving some low rank classical algebras. As an application, we compute several generating functions for the weight multiplicities of the irreducible representations of these algebras.
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