Solutions of D_α- 0 from Homogeneous Invariant Functions

Details Solutions of D_α- 0 from Homogeneous Invariant Functions Solutions of D_α- 0 from Homogeneous Invariant Functions

2000-02-02

arxiv.org/abs/math-ph/0002002v1

Physics

Mathematical Physics

4 pages, latex

Scientific paper

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.

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