Solutions of Dα- 0 from Homogeneous Invariant Functions
F. Buccella
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 Dα = 0: these correspond to the maximum value of the square of the invariant divided by the norm of the representation to the nth power.
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