Solutions of D_\alpha - 0 from Homogeneous Invariant Functions
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We prove that the existence of a homogeneous invariant of degree n for a representation of a semi-simple Lie group guarantees the existence of non-trivial solutions of D_{\alpha} = 0: these correspond to the maximum value of the square of the invariant divided by the norm of the representation to the n^{th} power.
Cite
@article{arxiv.math-ph/0002002,
title = {Solutions of D_\alpha - 0 from Homogeneous Invariant Functions},
author = {F. Buccella},
journal= {arXiv preprint arXiv:math-ph/0002002},
year = {2007}
}
Comments
4 pages, latex