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

Mathematical Physics 2009-11-10 v1 math.MP Representation Theory Exactly Solvable and Integrable Systems

Abstract

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.

Keywords

Cite

@article{arxiv.math-ph/0411079,
  title  = {Some results on the eigenfunctions of the quantum trigonometric Calogero-Sutherland model related to the Lie algebra E6},
  author = {J. Fernandez Nunez and W. Garcia Fuertes and A. M. Perelomov},
  journal= {arXiv preprint arXiv:math-ph/0411079},
  year   = {2009}
}

Comments

17 pages, no figures