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arXiv:1304.7203 [math-ph]AbstractReferencesReviewsResources

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

J. Fernández Núñez, W. García Fuertes, A. M. Perelomov

Published 2013-04-26, updated 2014-05-08Version 2

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.

Journal: J. Phys. A: Math. Theor. 47 (2014) 145202
Categories: math-ph, math.MP
Subjects: 17B10, 17B80, 81R12
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