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Linear representations of algebras and groups, Lie theory, associative algebras, multilinear algebra.
1
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highest weight representation and electromagnetic fields
I think I see the discrepancy. The 6 components of the field then do NOT transform as
a 6 dimensional rep, even for a fixed spacetime point. The action is :
F(x) -> M(g) * F(g' x) (F=field, M : 6x …