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Solutions of $D_{\alpha}$ = 0 from Homogeneous Invariant Functions
We prove that the existence of a homogeneous invariant of degree n for arepresentation of a semi-simple Lie group guarantees the existence ofnon-trivial solutions of D_{\alpha} = 0: these correspond to the maximum valueof the square of the invariant divided by the norm of the representation to then^...
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| Lenguaje: | eng |
| Publicado: |
2000
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| Acceso en línea: | http://cds.cern.ch/record/425373 |
| Sumario: | We prove that the existence of a homogeneous invariant of degree n for arepresentation of a semi-simple Lie group guarantees the existence ofnon-trivial solutions of D_{\alpha} = 0: these correspond to the maximum valueof the square of the invariant divided by the norm of the representation to then^{th} power. |
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