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arxiv: math-ph/0411079 · v1 · submitted 2004-11-26 · 🧮 math-ph · math.MP· math.RT· nlin.SI

Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra E6

classification 🧮 math-ph math.MPmath.RTnlin.SI
keywords algebracalogero-sutherlandquantumrelatedtrigonometricadmitalgebrasapproach
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The quantum trigonometric Calogero-Sutherland models related to Lie algebras admit a parametrization in which the dynamical variables are the characters of the fundamental representations of the algebra. We develop here this approach for the case of the exceptional Lie algebra E6.

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