Sutherland-type Trigonometric Models, Trigonometric Invariants and Multivariable Polynomials. II. $E_7$ case
Mathematical Physics
2016-11-28 v1 math.MP
Abstract
It is shown that the trigonometric Olshanetsky-Perelomov Hamiltonian, when written in terms of the Fundamental Trigonometric Invariants (FTI), is in algebraic form, i.e., has polynomial coefficients, and preserves the infinite flag of polynomial spaces with the characteristic vector . Its flag coincides with one of the minimal characteristic vector for the rational model.
Keywords
Cite
@article{arxiv.0904.0484,
title = {Sutherland-type Trigonometric Models, Trigonometric Invariants and Multivariable Polynomials. II. $E_7$ case},
author = {J. C. López Vieyra and M. A. G. García and A. V. Turbiner},
journal= {arXiv preprint arXiv:0904.0484},
year = {2016}
}
Comments
11 pages, LaTeX