Quantum trigonometric Calogero-Sutherland model and irreducible characters for the exceptional algebra E8

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We express the Hamiltonian of the quantum trigonometric Calogero-Sutherland model for the Lie algebra E8 and coupling constant k=1 by using the fundamental irreducible characters of the algebra as dynamical independent variables. Then, we compute the second order characters of the algebra and some higher order characters.

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Mathematical Physics, Exactly Solvable and Integrable Systems, 81R12; 17B80

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http://salesiana.dossiersoluciones.com/handle/123456789/162478

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.1011
 http://arxiv.org/abs/0806.1011

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arXiv