On an approach for computing the generating functions of the characters of simple Lie algebras

Abstract

We describe a general approach to obtain the generating functions of the characters of simple Lie algebras which is based on the theory of the quantum trigonometric Calogero-Sutherland model. We show how the method works in practice by means of a few examples involving some low rank classical algebras.

References in corpus (2)

• Physics and Mathematics of Calogero particles
• On character generators for simple Lie algebras

Cited by in corpus (3)

• Generating functions and multiplicity formulas: the case of rank two simple Lie algebras
• On the generating function of weight multiplicities for the representations of the Lie algebra $C_2$
• Multiplicity formulas for fundamental strings of representations of classical Lie algebras