Quantum trigonometric Calogero-Sutherland model and irreducible characters for the exceptional algebra E8
Mathematical Physics
2008-06-10 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.0806.1011,
title = {Quantum trigonometric Calogero-Sutherland model and irreducible characters for the exceptional algebra E8},
author = {J. Fernández Núñez and W. García Fuertes and A. M. Perelomov},
journal= {arXiv preprint arXiv:0806.1011},
year = {2008}
}