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On an approach for computing the generating functions of the characters of simple Lie algebras (1304.7203v2)

Published 26 Apr 2013 in math-ph and math.MP

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.

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