%0 Journal Article
%T Quantum trigonometric Calogero-Sutherland model, irreducible characters and Clebsch-Gordan series for the exceptional algebra E7
%A J. Fernandez Nunez
%A W. Garcia Fuertes
%A A. M. Perelomov
%J Mathematics
%D 2005
%I arXiv
%R 10.1063/1.2036947
%X We re-express the quantum Calogero-Sutherland model for the Lie algebra E7 and the particular value of the coupling constant K=1 by using the fundamental irreducible characters of the algebra as dynamical variables. For that, we need to develop a systematic procedure to obtain all the Clebsch-Gordan series required to perform the change of variables. We describe how the resulting quantum Hamiltonian operator can be used to compute more characters and Clebsch-Gordan series for this exceptional algebra.
%U http://arxiv.org/abs/math-ph/0507015v1