Some results on generating functions for characters and weight multiplicities of the Lie algebra $A_3$

José Fernández Núñez, Wifredo García Fuertes, Askold M. Perelomov

Published 2017-05-10Version 1

A method based on the quantum Calogero-Sutherland model is used to obtain generating functions for characters and multiplicities of $A_3$. Some comments on other rank three algebras are offered.