SUNT[a]
is the generator in the fundamental representation. The fundamental indices are implicit.
Overview, CA, CF, SUND, SUNDelta, SUNF, SUNSimplify.
[a] SUNT
Since is a noncommutative object, products have to separated by a Dot
(.
).
[a] . SUNT[b] . SUNT[c] SUNT
[a, b, c, d] SUNT
[SUNT[a, b, a], SUNNToCACF -> False] SUNSimplify
[SUNT[a, b, b, a]] SUNSimplify
[SUNT[a, b, a]] SUNSimplify
[SUNT[a, b, a], SUNNToCACF -> False] SUNSimplify
The normalization of the generators is chosen in the standard way, therefore
[SUNT[a, b]] SUNTrace
In case you want , you need to include a factor 2*Tf
inside the trace.
[2 Tf SUNT[a, b]] SUNTrace
[SUNT[a, b]] // StandardForm SUNTrace
[a] // FCI // StandardForm
SUNT
(*SUNT[SUNIndex[a]]*)
[a] // FCI // FCE // StandardForm
SUNT
(*SUNT[a]*)