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

2013/04/30 by J. Fernández Núñez, W. García Fuertes, A. M. Perelomov · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #msc:17B10 #msc:17B80 #msc:81R12

paper · pdf · doi:10.1088/1751-8113/47/14/145202

published as J. Phys. A: Math. Theor. 47 (2014) 145202

arxiv created 2014/05/08 · arxiv updated 2015/06/15

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.

Cited by

• On the generating function of weight multiplicities for the representations of the Lie algebra C₂

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