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

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

2008-06-05

arxiv.org/abs/0806.1011v1

Physics

Mathematical Physics

Scientific paper

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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