Lie algebra 4th order invariant
- From: "Robert C. Helling" <robert@xxxxxxxxxx>
- Date: 7 Nov 2007 14:42:23 GMT
Hi,
I am a physicist and have to admit I have no idea how to approach this
problem: Given a Lie algebra (semi-simple say), take the fourth
anti-symmetric tensor power of its adjoint representation and
decompose it into irreps. In which cases does this decomposition
contain the one dimensional representation?
In other words: Which Lie-algebras have a fourth order anti-symmetric
invariant?
Of course I can check concrete examples using LiE, but I am looking
for a general result.
Cheers
Robert
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Robert C. Helling Elite Master Course Theoretical and Mathematical Physics
Scientific Coordinator
Ludwig Maximilians Universitaet Muenchen, Dept. Physik
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